asymptotic formula for A006154

Max Alekseyev maxale at gmail.com
Sun Feb 18 19:53:05 CET 2007


On 2/18/07, Simon Plouffe <simon.plouffe at gmail.com> wrote:

> I think that the difference is the INDEX of n,
> The coefficients of 1/(1-sinh(x)) are computed
> with a(n)*(n-1)!.
>
> But yes, if you start counting the offset at 0
> it is the same.

The offset for A006154 is 0.
As a(n) refer to its terms, it should be

%F A006154 a(n) ~ sqrt(2)/2*n!/log(1+sqrt(2))^(n+1).

Otherwise it would be simply wrong.

Max





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