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%I #8 Dec 03 2019 04:14:02
%S 1,2,5,17,77,437,2975,23627,214457,2189897,24846395,310095887,
%T 4221990437,62273111357,989164604615,16834483468547,305604501324017,
%U 5894522593612817,120381876933435635,2595103478745235607,58887707028270711197,1403084759749993342277
%N Expansion of e.g.f. exp(x) / (1 - sinh(x)).
%C Binomial transform of A006154.
%F a(n) = Sum_{k=0..n} binomial(n,k) * A006154(k).
%F a(n) ~ n! * (1 + 1/sqrt(2)) / (log(1 + sqrt(2)))^(n+1). - _Vaclav Kotesovec_, Dec 03 2019
%t nmax = 21; CoefficientList[Series[Exp[x]/(1 - Sinh[x]), {x, 0, nmax}], x] Range[0, nmax]!
%Y Cf. A000629, A006154, A009283, A327034, A330047.
%K nonn
%O 0,2
%A _Ilya Gutkovskiy_, Nov 28 2019