[seqfan] Re: conjectures on hypergeometric recurrences for central k-nomial numbers
jvospost3 at gmail.com
Tue Feb 23 17:32:19 CET 2010
What a wonderful paper!
On Tue, Feb 23, 2010 at 5:34 AM, Richard Mathar
<mathar at strw.leidenuniv.nl> wrote:
> In work related to http://arxiv.org/abs/1002.3844 I've basically
> formulated conjectures in hypergeometric recurrence format for the
> 3-nomial, 5-nomial and 7-nomial central coefficients without any
> formal verification (a.k.a. "proof"). These are in A097861, A005191 and A025012.
> Given that there seem to be "closed" forms of these terms as sums
> over products of binomials, I'd encourage everyone with a good sense of the
> WZ methods (or ability to handel them via the associated differential equations)
> to bite at these. They are tested along the first 300 terms of each
> sequence and are likely correct.
> Richard Mathar
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