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E.g.f.: Product_{k>=1} (1 + sin(x^k)).
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%I #5 Mar 21 2016 06:41:45

%S 1,1,2,11,48,341,2640,23561,228816,2674153,32749200,440019469,

%T 6504919080,102077649805,1724124159576,31359633592769,596774321099040,

%U 12048020039472209,259300490127149664,5798531237450331797,136619813565630980280,3380131718416134261301

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

%H Vaclav Kotesovec, <a href="/A270662/b270662.txt">Table of n, a(n) for n = 0..440</a>

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

%Y Cf. A000262, A229263, A270294, A270663.

%K nonn

%O 0,3

%A _Vaclav Kotesovec_, Mar 21 2016