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.

A088129 Expansion of e.g.f. sinh(x)/(1-x)^2.

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%I A088129 #15 Jan 16 2024 00:57:59
%S A088129 0,1,4,19,104,661,4812,39607,364240,3704617,41310740,501328411,
%T A088129 6578864184,92843236669,1402257345244,22570640656831,385718738160032,
%U A088129 6975222838783057,133078088319220260,2671441145266564387,56287972249358876680,1242089553461115778021
%N A088129 Expansion of e.g.f. sinh(x)/(1-x)^2.
%C A088129 Binomial transform of A037256.
%F A088129 a(n) = A001339(n) - A088128(n).
%F A088129 a(n) = Sum_{k=0..floor((n-1)/2)} binomial(n,2*k+1) * (n-2*k)!. - _Ilya Gutkovskiy_, Apr 10 2022
%t A088129 nmax=21; CoefficientList[Series[Sinh[x]/(1-x)^2, {x,0,nmax}], x]Range[0,nmax]! (* _Stefano Spezia_, Jan 15 2024 *)
%Y A088129 Cf. A001339, A037256, A088128.
%K A088129 easy,nonn
%O A088129 0,3
%A A088129 _Paul Barry_, Sep 19 2003