[seqfan] Re: Peculiar Integer Recurrences ... Proof?

Max Alekseyev maxale at gmail.com
Thu Feb 12 22:01:30 CET 2009


On Wed, Feb 11, 2009 at 12:24 PM, Paul D Hanna <pauldhanna at juno.com> wrote:

> (1) Sum_{n>=0} [ Sum_{k>=1} (2^k*x)^k/k ]^n / n!
>
> A155200 = [1, 2, 10, 188, 16774, 6745436, 11466849412, ...].

Paul,

You stated A155200 and other similar sequences in OEIS as having
integer coefficients.
Do you have a proof for that?

Thanks,
Max




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