Re: EIS enries of Roger L. Bagula
From: Ignacio Larrosa Cañestro (ilarrosaQUITARMAYUSCULAS_at_mundo-r.com)
Date: 07/09/04
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Date: Sat, 10 Jul 2004 00:35:33 +0200
In many of that sequences there is a paragraph like it:
"Extension: Warning: Many recent communications from this author have
contained
numerical errors or have been badly formatted. This entry has
not been
edited and may contain errors. It is included on a provisional
basis in
the hope that some reader will edit it. - njas"
-- Best regards, Ignacio Larrosa Cañestro A Coruña (España) ilarrosaQUITARMAYUSCULAS@mundo-r.com En el mensaje:40EF176D.90707@earthlink.net, Roger Bagula <tftn@earthlink.net> escribió: > Lines in the database (if any, up to a limit of 500) that contain > the > string bagula. > It will take a few minutes to search the whole database (the second > and > later lookups are faster) > > %A A074381 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A074381> > Roger L. Bagula (tftn(AT)earthlink.net), Sep 24 2002 %A A090722 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A090722> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 18 2004 %A A072175 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A072175> > Roger L. Bagula (tftn(AT)earthlink.net), Jun 29 2002 %A A087742 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087742> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 01 2003 %A A090379 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A090379> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 29 2004 %A A089062 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089062> > Roger L. Bagula (tftn(AT)earthlink.net), Dec 02 2003 %A A087741 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087741> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 01 2003 %A A090668 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A090668> > Roger L. Bagula (tftn(AT)earthlink.net), Dec 16 2003 %A A088347 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A088347> > Roger L Bagula (tftn(AT)earthlink.net), Nov 07 2003 %A A087740 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087740> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 01 2003 %A A071956 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A071956> > Roger L. Bagula (tftn(AT)earthlink.net), Jun 16 2002 %A A072851 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A072851> > Roger L. Bagula (tftn(AT)earthlink.net), Jul 25 2002 %A A090350 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A090350> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 29 2004 %A A087825 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087825> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 06 2003 %A A067614 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A067614> > Roger L. Bagula (tftn(AT)earthlink.net), Feb 01 2002 %A A088140 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A088140> > Roger L. Bagula (tftn(AT)earthlink.net), Nov 04 2003 %o A087850 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087850> > (TRUE BASIC) 60 REM BATRACHION SEQUENCE 70 DIM q0(0 to 4000) 80 LET > q0(1)=1 90 LET q0(2)=1 91 FOR n= 3 to 176 92 LET > q0(n)=q0(q0(q0(q0(q0(n-1)))))+Abs(2*q0(n-1)-n) 93 NEXT n 100 SET MODE > "color" 110 SET WINDOW 0,1024,0,750 301 PRINT" penta sequence" 302 > PRINT" by Roger L. Bagula Oct 07 2003 " 381 OPEN #1: name > "CM1:penta_data",create newold, org text 390 FOR x=1 to 176 391 PRINT > #1: q0(x);","; 392 PRINT q0(x); 393 NEXT x 394 CLOSE #1 460 END %A > A087850 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087850> > Roger L Bagula (tftn(AT)earthlink.net), Oct 08 2003 %o A087849 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087849> > (TRUE BASIC) 60 REM BATRACHION SEQUENCE 70 DIM q0(0 to 4000) 80 LET > q0(1)=1 90 LET q0(2)=1 91 FOR n= 3 to 3999 92 LET > q0(n)=q0(q0(q0(n-1)))+Abs(2*q0(n-1)-n) 93 NEXT n 100 SET MODE "color" > 110 SET WINDOW 0,1024,0,750 301 PRINT" triple sequence" 302 PRINT" by > Roger L. Bagula Oct 07 2003 " 381 OPEN #1: name > "CM1:triple_data",create newold, org text 390 FOR x=1 to 200 391 > PRINT #1: q0(x);","; 392 PRINT q0(x); 393 NEXT x 394 CLOSE #1 460 END > %A A087849 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087849> > Roger L Bagula (tftn(AT)earthlink.net), Oct 08 2003 %A A081243 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A081243> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 17 2004 %A A094671 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A094671> > Roger L. Bagula (tftn(AT)earthlink.net), Jun 07 2004 %A A089990 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089990> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 14 2004 %A A089069 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089069> > Roger L. Bagula (tftn(AT)earthlink.net), Dec 03 2003 %A A089679 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089679> > Roger L. Bagula (tftn(AT)earthink.net), Jan 04 2004 %H A064552 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A064552> > Roger L. Bagula, A Simulation of a Prime Type of Sequence: The > Hofstadter Integers > <http://victorian.fortunecity.com/carmelita/435/hofstadterintegers.html> > %A A064552 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A064552> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 08 2001 %A A089077 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089077> > Roger L. Bagula (tftn(AT)earthlink.net), Dec 04 2003 %A A087775 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087775> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 04 2003 %A A072549 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A072549> > Roger L. Bagula (tftn(AT)earthlink.net), Aug 05 2002 %A A087834 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087834> > Roger L Bagula (tftn(AT)earthlink.net), Oct 07 2003 %A A087816 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087816> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 05 2003 %A A071988 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A071988> > Roger L. Bagula (tftn(AT)earthlink.net), Jun 17 2002 %A A087847 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087847> > Roger L Bagula (tftn(AT)earthlink.net), Oct 07 2003 %A A087845 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087845> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 07 2003 %A A087843 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087843> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 07 2003 %A A087831 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087831> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 06 2003 %o A087817 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087817> > (TRUE BASIC) 60 REM A004001 BATRACHION SEQUENCE 70 DIM q0(0 to 4000) > 75 LET q0(0)=1 80 LET q0(1)=1 90 LET q0(2)=1 91 FOR n= 3 to 4000 92 > LET q0(n)=q0(q0(q0(n-1)))+q0(n-q0(n-1)) 93 NEXT n 100 SET MODE > "color" 110 SET WINDOW 0,1024,0,750 301 PRINT" triple recursion" 302 > PRINT" by Roger L. Bagula 5 Oct 2003 " 381 OPEN #1: name > "CM1:C3_data",create newold, org text 390 FOR x=1 to 200 391 PRINT > #1: q0(x);","; 392 PRINT q0(x); 393 NEXT x 394 CLOSE #1 460 END %A > A087817 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087817> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 05 2003 %A A087836 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087836> > Roger L Bagula (tftn(AT)earthlink.net), Oct 07 2003 %o A087826 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087826> > (TRUE BASIC) 60 REM HOFSTADTER'S triple 3rd BATRACHION SEQUENCE 70 > DIM q0(0 to 4000) 80 LET q0(1)=1 90 LET q0(2)=1 91 FOR n= 3 to 4000 > 92 LET q0(n)=q0(n-q0(n-1))+q0(q0(n-q0(n-2))) 93 NEXT n 100 SET MODE > "color" 110 SET WINDOW 0,1024,0,750 301 PRINT" Hofstader triple > recusion 3rd type" 302 PRINT" by Roger L. Bagula Oct 06 2003 " 381 > open #1: name "CM1:Ht3_data",create newold, org text 390 FOR x=1 to > 200 391 PRINT #1: q0(x);","; 392 NEXT x 393 close #1 460 END %A > A087826 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087826> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 06 2003 %A A087824 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087824> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 06 2003 %A A086841 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A086841> > Roger L. Bagula (tftn(AT)earthlink.net), Sep 15 2003 %A A087724 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087724> > Roger L. Bagula (tftn(AT)earthlink.net), Sep 29 2003 %A A087874 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087874> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 11 2003 %A A086835 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A086835> > Roger L. Bagula (tftn(AT)earthlink.net), Sep 15 2003 %A A089076 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089076> > Roger L. Bagula (tftn(AT)earthlink.net), Dec 04 2003 %A A089075 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089075> > Roger L. Bagula (tftn(AT)earthlink.net), Dec 04 2003 %A A073058 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A073058> > Roger L. Bagula (tftn(AT)earthlink.net), Aug 16 2002 %A A089026 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089026> > Roger L. Bagula (tftn(AT)earthlink.net), Nov 12 2003 %A A092550 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A092550> > Roger L. Bagula (tftn(AT)earthlink.net), Apr 08 2004 %A A087839 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087839> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 07 2003 %A A087838 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087838> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 07 2003 %A A087842 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087842> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 07 2003 %A A087823 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087823> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 06 2003 %A A086335 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A086335> > Roger L. Bagula (tftn(AT)earthlink.net), Sep 01 2003 %A A086525 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A086525> > Roger L. Bagula (tftn(AT)earthlink.net), Sep 14 2003 %A A089134 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089134> > Roger L. Bagula (tftn(AT)earthlink.net), Dec 05 2003 %A A089135 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089135> > Roger L. Bagula (tftn(AT)earthlink.net), Dec 05 2003 %A A090141 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A090141> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 19 2004 %A A073057 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A073057> > Roger L. Bagula (tftn(AT)earthlink.net), Aug 16 2002 %A A087844 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087844> > Roger L Bagula (tftn(AT)earthlibk.net), Oct 07 2003 %A A087848 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087848> > Roger L Bagula (tftn(AT)earthlink.net), Oct 07 2003 %A A087827 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087827> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 06 2003 %A A087876 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087876> > Roger L Bagula (tftn(AT)earthlink.net), Oct 11 2003 %A A087875 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087875> > Roger L Bagula (tftn(AT)earthlink.net), Oct 11 2003 %A A088492 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A088492> > Roger L. Bagula (tftn(AT)earthlink.net), Nov 10 2003 %A A088491 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A088491> > Roger L. Bagula (tftn(AT)earthlink.net), Nov 10 2003 %A A087846 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087846> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 07 2003 %A A087829 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087829> > Roger L Bagula (tftn(AT)earthlink.net), Oct 06 2003 %A A090175 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A090175> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 19 2004 %A A089657 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089657> > Roger L. Bagula (tftn(AT)earthink.net), Jan 04 2004 %A A087721 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087721> > Roger L. Bagula (tftn(AT)earthlink.net), Sep 29 2003 %A A087830 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087830> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 06 2003 %A A089223 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089223> > Roger L. Bagula (tftn(AT)earthlink.net), Dec 10 2003 %A A089190 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089190> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 03 2004 %A A072388 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A072388> > Roger L. Bagula (tftn(AT)earthlink.net), Jul 20 2002 %A A073434 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A073434> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 03 2002 %A A093999 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A093999> > Roger L. Bagula (tftn(AT)earthlink.net), May 24 2004 %A A089174 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089174> > Roger L. Bagula (tftn(AT)earthlink.net), Dec 07 2003 %A A087815 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087815> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 05 2003 %A A089221 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089221> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 03 2004 %o A087777 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087777> > (TRUE BASIC) 60 REM HOFSTADTER'S BATRACHION SEQUENCE 70 DIM q0(0 to > 4000) 71 LET q0(0)=1 72 LET q0(1)=1 73 LET q0(2)=1 74 LET q0(3)=1 91 > FOR n= 4 to 1689 92 LET q0(n)=q0(Abs(n-q0(n-2)))+q0(Abs(n-q0(n-4))) > 93 NEXT n 100 SET MODE "color" 110 SET WINDOW 0,1024,0,750 301 PRINT" > Hofstader four minimal Pisot" 302 PRINT" by Roger L. Bagula 5 OCT. > 2003" 303 DIM p(0 to 4000) 381 OPEN #1: name "CM1:H4MP_data",create > newold, org text 390 FOR x=1 to 200 391 PRINT #1: q0(x);","; 392 > PRINT q0(x); 393 NEXT x 394 CLOSE #1 460 END %A A087777 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087777> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 05 2003 %A A088308 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A088308> > Roger L. Bagula (tftn(AT)earthink.net), Nov 05 2003 %A A087686 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087686> > Roger L. Bagula (tftn(AT)earthlink.net), Sep 27 2003 %H A064550 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A064550> > Roger L. Bagula, A Simulation of a Prime Type of Sequence: The > Hofstadter Integers > <http://victorian.fortunecity.com/carmelita/435/hofstadterintegers.html> > %A A064550 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A064550> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 08 2001 %H A064657 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A064657> > Roger L. Bagula, A Simulation of a Prime Type of Sequence: The > Hofstadter Integers > <http://victorian.fortunecity.com/carmelita/435/hofstadterintegers.html> > %A A064657 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A064657> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 08 2001 %A A072049 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A072049> > Roger L. Bagula (tftn(AT)earthlink.net), Jul 30 2002 %A A072067 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A072067> > Roger L. Bagula (tftn(AT)earthlink.net), Jul 30 2002 %A A088301 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A088301> > Roger L. Bagula (tftn(AT)earthlink.net), Nov 04 2003 %A A084245 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A084245> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 17 2004 %A A086267 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A086267> > Roger L. Bagula (tftn(AT)earthlink.net), Aug 28 2003 %A A094065 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A094065> > Roger L Bagula (tftn(AT)earthlink.net), May 31 2004 %A A088438 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A088438> > Roger L. Bagula (tftn(AT)earthlink.net), Nov 09 2003 %A A092943 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A092943> > Roger L. Bagula (tftn(AT)earthlink.net), Apr 19 2004 %A A087723 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087723> > Roger L. Bagula (tftn(AT)earthlink.net), Sep 29 2003 %A A088591 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A088591> > Roger L. Bagula (tftn(AT)earthlink.net), Nov 20 2003 %A A090398 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A090398> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 31 2004 %A A090416 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A090416> > Roger L. Bagula (tftn(AT)earthink.net), Jan 31 2004 %A A090430 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A090430> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 31 2004 %A A089182 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089182> > Roger L. Bagula (tftn(AT)earthlink.net), Dec 07 2003 %A A090434 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A090434> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 31 2004 %A A088439 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A088439> > Roger L. Bagula (tftn(AT)earthlink.net), Nov 09 2003 %A A088441 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A088441> > Roger L. Bagula (tftn(AT)earthlink.net), Nov 09 2003 %A A089028 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089028> > Roger L. Bagula (tftn(AT)earthlink.net), Nov 12 2003 %A A089680 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089680> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 04 2004 %t A087851 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087851> > (TRUE BASIC) 60 REM BATRACHION SEQUENCE 61 LET gm=(1+Sqr(5))/2 70 DIM > q0(0 to 4000) 80 LET q0(1)=1 90 LET q0(2)=1 91 FOR n= 3 to 201 92 LET > q0(n)=Abs(q0(n-1)-int(n*gm)) 93 NEXT n 100 SET MODE "color" 110 SET > WINDOW 0,1024,0,750 301 PRINT" simple sequence" 302 PRINT" by Roger > L. Bagula Oct 07 2003 " 381 OPEN #1: name "CM1:simple_data",create > newold, org text 390 FOR x=1 to 200 391 PRINT #1: q0(x);","; 392 > PRINT q0(x); 393 NEXT x 394 CLOSE #1 460 END %A A087851 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087851> > Roger L Bagula (tftn(AT)earthlink.net), Oct 08 2003 %o A087852 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087852> > (TRUE BASIC) 60 REM BATRACHION SEQUENCE 61 LET gm=(1+Sqr(5))/2 70 DIM > q0(0 to 4000) 80 LET q0(1)=1 90 LET q0(2)=1 91 FOR n= 3 to 201 92 LET > q0(n)=Abs(q0(q0(n-1))-int(n*gm)) 93 NEXT n 100 SET MODE "color" 110 > SET WINDOW 0,1024,0,750 301 PRINT" double simple sequence" 302 PRINT" > by Roger L. Bagula Oct 07 2003 " 381 OPEN #1: name > "CM1:doublesimple_data",create newold, org text 390 FOR x=1 to 200 > 391 PRINT #1: q0(x);","; 392 PRINT q0(x); 393 NEXT x 394 CLOSE #1 460 > END %A A087852 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087852> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 08 2003 %o A087853 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087853> > (TRUE BASIC) 60 REM BATRACHION SEQUENCE 61 LET gm=(1+Sqr(5))/2 70 DIM > q0(0 to 4000) 80 LET q0(1)=1 90 LET q0(2)=1 91 FOR n= 3 to 201 92 LET > q0(n)=Abs(q0(q0(q0(n-1)))-int(n*gm)) 93 NEXT n 100 SET MODE "color" > 110 SET WINDOW 0,1024,0,750 301 PRINT" triple simple sequence" 302 > PRINT" by Roger L. Bagula Oct 07 2003 " 381 OPEN #1: name > "CM1:triplesimple_data",create newold, org text 390 FOR x=1 to 200 > 391 PRINT #1: q0(x);","; 392 PRINT q0(x); 393 NEXT x 394 CLOSE #1 460 > END %A A087853 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087853> > Roger L Bagula (tftn(AT)earthlink.net), Oct 08 2003 %A A089175 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089175> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 03 2004 %A A086910 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A086910> > Roger L. Bagula (tftn(AT)earthlink.net), Sep 24 2003 %A A076524 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A076524> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 18 2002 %A A089029 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089029> > Roger L. Bagula (tftn(AT)earthlink.net), Nov 12 2003 %A A089230 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089230> > Roger L. Bagula (tftn(AT)earthlink.net), Dec 10 2003 %o A087758 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087758> > true basic program: 60 REM MALLOWS'S BATRACHION SEQUENCE 70 DIM q0(0 > to 4000) 80 LET q0(1)=1 90 LET q0(2)=1 91 FOR n= 3 to 4000 92 LET > q0(n)=q0(q0(n-2))+q0(n-q0(n-2)) 93 NEXT n 100 SET MODE "color" 110 > SET WINDOW 0,1024,0,750 301 PRINT" MALLOWS Inversion" 302 PRINT" by > Roger L. Bagula 2 OCT. 2003" 303 DIM p(0 to 4000) 310 FOR x=1 to 4000 > 311 REM if p(q0(x)) hasn't been used already give p() a value 312 IF > p(q0(x))=0 then LET p(q0(x))=x 380 NEXT x 381 OPEN #1: name > "CM1:MI_data",create newold, org text 390 FOR x=1 to 200 391 PRINT > #1: p(x);","; 392 PRINT p(x); 393 NEXT x 394 CLOSE #1 460 END %A > A087758 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087758> > Roger L Bagula (tftn(AT)earthlink.net), Oct 02 2003 %o A087753 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087753> > (TRUE BASIC) 60 REM HOFSTADTER'S BATRACHION SEQUENCE 70 DIM q0(0 to > 4000) 80 LET q0(1)=1 90 LET q0(2)=1 91 FOR n= 3 to 4000 92 LET > q0(n)=q0(n-q0(n-1))+q0(n-q0(n-2)) 93 NEXT n 100 SET MODE "color" 110 > SET WINDOW 0,1024,0,750 301 PRINT" Hofstader Inversion" 302 PRINT" by > Roger L. Bagula 2 OCT. 2003" 303 DIM p(0 to 4000) 310 FOR x=1 to 4000 > 311 REM if p(q0(x)) hasn't been used already give p() a value 312 IF > p(q0(x))=0 then LET p(q0(x))=x 380 NEXT x 390 FOR x=1 to 500 391 > PRINT p(x); 392 NEXT x 460 END %A A087753 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087753> > Roger L Bagula (tftn(AT)earthlink.net), Oct 02 2003 %A A087884 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087884> > Roger L Bagula (tftn(AT)earthlink.net), Oct 12 2003 %A A087720 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087720> > Roger L. Bagula (tftn(AT)earthlink.net), Sep 29 2003 %A A089740 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089740> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 08 2004 %A A089103 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089103> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 17 2004 %A A094227 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A094227> > Roger L. Bagula (tftn(AT)earthlink.net), May 28 2004 %A A094228 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A094228> > Roger L Bagula (tftn(AT)earthlink.net), May 28 2004 %A A089070 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089070> > Roger L. Bagula (tftn(AT)earthlink.net), Dec 03 2003 %A A089996 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089996> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 14 2004 %A A089133 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089133> > Roger L. Bagula (tftn(AT)earthlink.net), Dec 05 2003 %A A092948 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A092948> > Roger L. Bagula (tftn(AT)earthlink.net), Apr 19 2004 %A A075703 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A075703> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 02 2002 %A A089068 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089068> > Roger L. Bagula (tftn(AT)earthlink.net), Dec 03 2003 %A A094386 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A094386> > Roger L. Bagula (tftn(AT)earthlink.net), Jun 03 2004 %A A072845 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A072845> > Roger L. Bagula (tftn(AT)earthlink.net), Jul 24 2002 %A A071641 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A071641> > Roger L. Bagula (tftn(AT)earthlink.net), Jun 22 2002 %A A087655 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087655> > Roger L. Bagula (tftn(AT)earthlink.net), Sep 26 2003 %A A089690 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089690> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 05 2004 %A A089074 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089074> > Roger L. Bagula (tftn(AT)earthlink.net), Dec 04 2003 %A A089689 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089689> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 05 2004 %A A088589 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A088589> > Roger L. Bagula (tftn(AT)earthlink.net), Nov 20 2003 %A A088590 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A088590> > Roger L. Bagula (tftn(AT)earthlink.net), Nov 20 2003 %A A064551 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A064551> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 08 2001 %A A088440 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A088440> > Roger L. Bagula (tftn(AT)earthlink.net), Nov 09 2003 %A A090724 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A090724> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 18 2004 %A A088752 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A088752> > Roger L Bagula (tftn(AT)earthlink.net), Oct 14 2003 %A A071901 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A071901> > Roger L. Bagula (tftn(AT)earthlink.net), Jun 12 2002 %A A072231 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A072231> > Roger L. Bagula (tftn(AT)earthlink.net), Jul 05 2002 %A A086171 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A086171> > Roger L. Bagula (tftn(AT)earthlink.net), Aug 26 2003 %A A087882 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087882> > Roger L Bagula (tftn(AT)earthlink.net), Oct 12 2003 %A A083786 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A083786> > Roger L. Bagula (tftn(AT)earthlink.net), Aug 21 2003 %A A087684 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087684> > Roger L. Bagula (tftn(AT)earthlink.net), Sep 27 2003 %H A056016 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A056016> > Roger L. Bagula, Factoring Double Fibonacci Sequences, 2000 > <http://www.crosswinds.net/%7Etranslight/fib_double.html> %A A094226 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A094226> > Roger L. Bagula (tftn(AT)earthlink.net), May 28 2004 %A A087881 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087881> > Roger L Bagula (tftn(AT)earthlink.net), Oct 12 2003 %A A086912 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A086912> > Roger L. Bagula (tftn(AT)earthlink.net), Sep 24 2003 %A A088655 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A088655> > Roger L. Bagula (tftn(AT)earthlink.net), Nov 21 2003 %A A089154 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089154> > Roger L. Bagula (tftn(AT)earthlink.net), Dec 06 2003 %A A089027 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089027> > Roger L. Bagula (tftn(AT)earthlink.net), Nov 12 2003 %A A090183 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A090183> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 20 2004 %A A074396 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A074396> > Roger L. Bagula (tftn(AT)earthlink.net), Sep 24 2002 %A A090484 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A090484> > Roger L. Bagula (tftn(AT)earthlink.net), Feb 01 2004 %A A090489 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A090489> > Roger L. Bagula, Feb 01 2004 %D A072222 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A072222> > Published in TFTN as the Bagula Batrachion in 1997. %o A072222 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A072222> > (TRUE BASIC) DIM f(0 to 640) SET MODE "color" SET WINDOW 0,640,0,480 > SET COLOR MIX (1) 0,0,0 LET f(0)=1 LET f(1)=1 REM Bagula Batrachion > PRINT"BAGULA BATRACHION:" FOR k= 2 to 75 LET g=mod(abs(k-1-f(k-2)),k) > LET h=mod(abs(k-1-f(k-1)),k-1) LET f(k)=g+h SET COLOR 1 IF F(K)<>0 > THEN PLOT K,240+120*F(K-1)/F(K) SET COLOR 255 PRINT K,F(K) NEXT k END > %A A072222 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A072222> > Roger L. Bagula (tftn(AT)earthlink.net), Jul 04 2002 %A A089687 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089687> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 05 2004 %A A088482 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A088482> > Roger L Bagula (tftn(AT)earthlink.net), Nov 09 2003 %A A088346 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A088346> > Roger L. Bagula (tftn(AT)earthlink.net), Nov 07 2003 %A A088348 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A088348> > Roger L Bagula (tftn(AT)earthlink.net), Nov 07 2003 %A A074367 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A074367> > Roger L. Bagula (tftn(AT)earthlink.net), Sep 23 2002 %A A074965 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A074965> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 05 2002 %A A074395 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A074395> > Roger L. Bagula (tftn(AT)earthlink.net), Sep 24 2002 %A A037905 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A037905> > Roger L. Bagula (tftn(AT)earthlink.net), Jun 27 2002 %A A089991 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089991> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 14 2004 %A A089229 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089229> > Roger L. Bagula (tftn(AT)earthlink.net), Dec 10 2003 %A A086913 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A086913> > Roger L. Bagula (tftn(AT)earthlink.net), Sep 24 2003 %o A087873 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087873> > (TRUE BASIC) 60 REM CONWAY'S( $10000) BATRACHION SEQUENCE 70 DIM q0(0 > to 4000) 71 let q0(0)=1 80 LET q0(1)=1 90 LET q0(2)=1 91 FOR n= 3 to > 4000 92 LET q0(n)=q0(q0(n-1))+q0(n-q0(n-1)) 93 NEXT n 100 SET MODE > "color" 110 SET WINDOW 0,1024,0,750 301 PRINT" Conway re_inversion > down" 302 PRINT" by Roger L. Bagula 11 Oct 2003 " 303 DIM p(0 to > 4000) 310 FOR x=0 to 4000 311 REM if p(q0(x)) hasn't been used > already give p() a value 312 IF p(q0(x))=0 then LET p(q0(x))=x 320 > NEXT x 330 DIM q1(0 to 4000) 331 let q1(0)=1 382 LET q1(1)=1 383 LET > q1(2)=1 384 FOR n= 3 to 4000 385 LET > q1(n)=p(p(n-1))+q1(abs(n-q1(n-1))) 386 NEXT n 387 OPEN #1: name > "CM1:CRID_data",create newold, org text 390 FOR x=1 to 200 391 PRINT > #1: q1(x);","; 392 PRINT q1(x); 393 NEXT x 394 CLOSE #1 460 END %A > A087873 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087873> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 11 2003 %A A087883 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087883> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 12 2003 %H A056015 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A056015> > R. L. Bagula, Factoring Double Fibonacci Sequences, 2000 > <http://www.crosswinds.net/%7Etranslight/fib_double.html> %A A086210 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A086210> > Roger L. Bagula (tftn(AT)earthlink.net), Aug 27 2003 %A A088660 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A088660> > Roger L. Bagula (tftn(AT)earthlink.net), Nov 21 2003 %A A090417 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A090417> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 31 2004 %A A090459 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A090459> > Roger L. Bagula, Jan 31 2004 %A A089997 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089997> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 14 2004 %A A088656 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A088656> > Roger L. Bagula (tftn(AT)earthink.net), Nov 21 2003 %A A088663 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A088663> > Roger L. Bagula (tftn(AT)earthlink.net), Nov 21 2003 %A A072003 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A072003> > Roger L. Bagula (tftn(AT)earthlink.net), Jun 18 2002 %A A086911 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A086911> > Roger L. Bagula (tftn(AT)earthlink.net), Sep 24 2003 %A A088661 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A088661> > Roger L. Bagula (tftn(AT)earthlink.net), Nov 21 2003 %A A088487 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A088487> > Roger L. Bagula (tftn(AT)earthlink.net), Nov 09 2003 %A A076639 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A076639> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 23 2002 %A A088488 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A088488> > Roger L. Bagula (tftn(AT)earthlink.net), Nov 09 2003 %A A088588 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A088588> > Roger L. Bagula (tftn(AT)earthlink.net), Nov 20 2003 %A A093809 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A093809> > Roger L. Bagula (tftn(AT)earthlink.net), May 19 2004 %A A089101 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089101> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 17 2004 %C A062357 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A062357> > A sequence based on the solution of the equation: > 1+(1+n)*prime(n)/x-n*prime(n+1)/x=0 for x. This is an irrational > rotation-like sequence: the sequence is similar to a Beatty sequence. > - Roger L. Bagula (tftn(AT)earthlink.net), Jun 06 2002 %A A090485 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A090485> > Roger L. Bagula (tftn(AT)earthlink.net), Feb 01 2004 %A A089739 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089739> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 07 2004 %A A074879 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A074879> > Roger L. Bagula (tftn(AT)earthlink.net), Sep 30 2002 %A A090415 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A090415> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 31 2004 %A A087722 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087722> > Roger L. Bagula (tftn(AT)earthlink.net), Sep 29 2003 %A A087869 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087869> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 10 2003 %A A087774 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087774> > Roger L. Bagula (tftn(AT)earthink.net), Oct 04 2003 %A A089691 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089691> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 05 2004 %A A087776 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087776> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 04 2003 %A A089720 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089720> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 06 2004 %A A089716 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089716> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 06 2004 %A A089183 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089183> > Roger L. Bagula (tftn(AT)earthlink.net), Dec 07 2003 %A A087868 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087868> > Roger L Bagula (tftn(AT)earthloink.net), Oct 10 2003 %A A087657 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087657> > Roger L. Bagula (tftn(AT)earthlink.net), Sep 26 2003 %A A087814 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087814> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 05 2003 %A A094393 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A094393> > Roger L. Bagula (tftn(AT)earthlink.net), Jun 03 2004 %A A086451 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A086451> > Roger L. Bagula (tftn(AT)earthlink.net), Sep 14 2003 %A A088494 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A088494> > Roger L. Bagula (tftn(AT)earthlink.net), Nov 10 2003 %A A088493 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A088493> > Roger L. Bagula (tftn(AT)earthlink.net), Nov 10 2003 %A A087658 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A087658> > Roger L. Bagula (tftn(AT)earthlink.net), Sep 26 2003 %A A074972 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A074972> > Roger L. Bagula (tftn(AT)earthlink.net), Oct 05 2002 %A A089724 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089724> > Roger L. Bagula (tftn(AT)earhtlink.net), Jan 07 2004 %A A074822 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A074822> > Roger L. Bagula (tftn(AT)earthlink.net), Sep 30 2002 %A A089787 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089787> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 09 2004 %A A089184 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089184> > Roger L. Bagula (tftn(AT)earthlink.net), Dec 07 2003 %A A089685 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089685> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 05 2004 %A A089332 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089332> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 03 2004 %A A089719 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089719> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 06 2004 %A A089721 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089721> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 06 2004 %A A089686 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089686> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 05 2004 %A A089784 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A089784> > Roger L. Bagula (tftn(AT)earthlink.net), Jan 09 2004 %A A090486 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A090486> > Roger L. Bagula (tftn(AT)earthlink.net), Feb 01 2004 %A A090487 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A090487> > Roger L. Bagula (tftn(AT)earthlink.net), Feb 01 2004 %A A094896 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A094896> > Roger L. Bagula (tftn(AT)earthlink.net), Jun 14 2004 %A A094897 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A094897> > Roger L. Bagula (tftn(AT)earthlink.net), Jun 14 2004 %A A094898 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A094898> > Roger L. Bagula (tftn(AT)earthlink.net), Jun 14 2004 %A A094899 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A094899> > Roger L. Bagula (tftn(AT)earthlink.net), Jun 14 2004 %A A094900 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A094900> > Roger L. Bagula (tftn(AT)earthlink.net), Jun 14 2004 %A A094901 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A094901> > Roger L. Bagula (tftn(AT)earthlink.net), Jun 15 2004 %A A094902 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A094902> > Roger L. Bagula (tftn(AT)earthlink.net), Jun 15 2004 %A A094903 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A094903> > Roger L. Bagula (tftn(AT)earthloink.net), Jun 15 2004 %A A094931 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A094931> > Roger L. Bagula (tftn(AT)earthlink.net), Jun 17 2004 %A A094932 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A094932> > Roger L. Bagula (tftn(AT)earthlink.net), Jun 17 2004 %A A094933 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A094933> > Roger L. Bagula (tftn(AT)earthlink.net), Jun 17 2004 %A A096295 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A096295> > Roger L. Bagula (tftn(AT)earthlink.net), Jun 20 2004 %A A096297 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A096297> > Roger L. Bagula (tftn(AT)earthlink.net), Jun 20 2004 %A A095419 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A095419> > Roger L. Bagula (tftn(AT)earthlink.net), Jul 02 2004 %A A095420 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A095420> > Roger L. Bagula (tftn(AT)earthlink.net), Jul 02 2004 %A A095648 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A095648> > Roger L. Bagula (tftn(AT)earthlink.net), Jul 02 2004 %A A095649 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A095649> > Roger L. Bagula (tftn(AT)earthlink.net), Jul 02 2004 %A A095650 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A095650> > Roger L. Bagula (tftn(AT)earthlink.net), Jul 02 2004 %A A095651 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A095651> > Roger L. Bagula (tftn(AT)earthlink.net), Jul 02 2004 %A A095672 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A095672> > Roger L. Bagula (tftn(AT)earthlink.net), Jul 02 2004 %A A095673 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A095673> > Roger L. Bagula (tftn(AT)earthlink.net), Jul 02 2004 %A A095735 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A095735> > Roger L. Bagula (tftn(AT)earthlink.net), Jul 06 2004 %A A095736 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A095736> > Roger L. Bagula (tftn(AT)earthlink.net), Jul 06 2004 %A A095737 > <http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A num=A095737> > Roger L. Bagula (tftn(AT)earthlink.net), Jul 06 2004
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