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E.g.f.: Product_{k>=1} (1 + sinh(x^k)).
14

%I #14 Mar 21 2016 06:42:17

%S 1,1,2,13,48,381,3120,26923,255696,3158137,40008240,519979791,

%T 7942304040,122856625477,2131578891624,39647280625891,750423985762080,

%U 15134456564892273,334165931467245216,7422976578858122647,177254117413133743800,4454974632071621551741

%N E.g.f.: Product_{k>=1} (1 + sinh(x^k)).

%H Vaclav Kotesovec, <a href="/A270294/b270294.txt">Table of n, a(n) for n = 0..440</a>

%t nmax = 25; Range[0, nmax]!*CoefficientList[Series[Product[1+Sinh[x^k], {k, 1, nmax}], {x, 0, nmax}], x]

%Y Cf. A000262, A229263, A270662, A270663.

%K nonn

%O 0,3

%A _Vaclav Kotesovec_, Mar 21 2016