14 Aug
2012
14 Aug
'12
10 a.m.
* Warren Smith <warren.wds@gmail.com> [Aug 14. 2012 17:26]:
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---I partially mis-worded the pi problem -- should have said the ratio a(n)/a(n-1) was rational function of n, and a(0)=rational. If none of the pi-experts here can come up with a positive solution, which would be the easy way to solve it, then it is probably a hard problem. One relevant piece of maths is "Siegel E-functions" http://en.wikipedia.org/wiki/E-function
I guess 1/Pi is somehow verboten, but anyway: 2/Pi = 2F1([-1/2,1/2], [1], 1)
Wilf had a web page of "Herb's open problems" here: http://www.math.upenn.edu/~wilf/website/UnsolvedProblems.pdf and the 2 problems I gave were his #1 and #7.
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