cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A352906 Expansion of e.g.f. sinh(x) / (1 - sin(x)).

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%I A352906 #6 Apr 08 2022 09:49:04
%S A352906 0,1,2,7,24,101,472,2507,14784,96361,687392,5332207,44694144,
%T A352906 402663821,3880880512,39848805107,434306095104,5007757446481,
%U A352906 60907946680832,779345606053207,10465549612529664,147168296199468341,2162785172079204352,33155700678534788507,529311396083558989824
%N A352906 Expansion of e.g.f. sinh(x) / (1 - sin(x)).
%F A352906 a(n) = Sum_{k=0..floor((n-1)/2)} binomial(n,2*k+1) * A000111(n-2*k).
%F A352906 a(n) ~ sinh(Pi/2) * 2^(n + 7/2) * n^(n + 3/2) / (exp(n) * Pi^(n + 3/2)). - _Vaclav Kotesovec_, Apr 07 2022
%t A352906 nmax = 24; CoefficientList[Series[Sinh[x]/(1 - Sin[x]), {x, 0, nmax}], x] Range[0, nmax]!
%Y A352906 Cf. A000111, A000667, A000795, A001250, A002084, A062161, A062272, A322623, A348580.
%K A352906 nonn
%O A352906 0,3
%A A352906 _Ilya Gutkovskiy_, Apr 07 2022