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