[seqfan] Re: A156856 and A031768 related?

franktaw at netscape.net franktaw at netscape.net
Sat Feb 21 17:42:32 CET 2009

Generally, there are many expressions of the form n = a^2 k^2 + b k + c 
which determine the continued fraction for n in a regular pattern.  
Without actually taking the time to work it out, the coincidence of 
values makes it certain that the expression 2025*n^2+n in A156856 is 
one such, and thus A156856 is a subset of A031768.

It is nearly certain that A031768 does contain terms not in A156856, 
although I have no idea how big the first one might be.

Franklin T. Adams-Watters

-----Original Message-----
From: Richard Mathar <mathar at strw.leidenuniv.nl>

Are these two sequences related (beyond the visible coincidence in
the initial terms)?


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