Arbitrary strings of digits in the decimal display of Pi

From: J.Barsuhn (jw.barsuhn_at_t-online.de)
Date: 09/20/04 

Date: Mon, 20 Sep 2004 02:05:30 +0200

It appears to be generally accepted that one can find any sequence of
digits somewhere in the decimal display of Pi =3.14159....
At
http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A032510
one finds the first terms of an integer sequence consisting of the last
n-digits strings found when scanning the decimal display of Pi from its
beginning, and certainly this sequence is not expected to terminate
somewhere.

Does anybody know whether a proof of this conjectured property has been
given (or attempted) ?

Are there other irrational numbers that are expected to exhibit this
same property? Of course, this cannot be a general property of
irrational numbers.

All the best Jurgen Barsuhn

Prof. Dr. Jurgen Barsuhn
Piusweg 6
D-33617 Bielefeld
Germany

Relevant Pages

  • have you seen this sequence?
    ... Essentially, I'm wondering whether the following sequence, which I ... encountered by chance, seems sufficiently interesting to be added to ... Sloane's encyclopaedia, and incidentally whether someone has met it ... Experimentally it seems that the supremum of the n first terms ...
    (sci.math.research)
  • Re: have you seen this sequence?
    ... I found a related sequence but with a simpler rule: ... Should be interesting to know what is the sequence of occurrences of ... Experimentally it seems that the supremum of the n first terms ...
    (sci.math.research)