Re: Rational numbers in PI

David R Tribble says...

KHolmes wrote:

pi = 3.141592653589793238462643383279...
g(1) = 3.493963...
g(2) = 1.55748...
g(3) = 1.6983...
g(4) = 2.833...
g(5) = 5.24...
g(6) = 3.6...
g(7) = 2. ...


You weren't very clear about how the numbers are formed,
so I'll clarify: g(n) is the decimal number formed by taking
every nth digit of the decimal expansion of pi.

It looks to me that g(1) consists of the
1st digit of pi
3rd digit
6th digit
10th digit
etc.

That is, digit number n of g(1) is equal to digit number m
of pi, where m = n(n+1)/2.

g(2) consists of
2nd digit of pi
4th digit
7th digit
etc.

So digit number n of g(2) is equal to digit number m
of pi, where m = n(n+1)/2 + 1.

In general digit number n of g(k) seems to be equal to
digit number m of pi, where m = n(n+1)/2 + k-1.

--
Daryl McCullough
Ithaca, NY

.

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