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%I #5 Dec 17 2019 08:41:09
%S 1,1,4,17,112,761,6992,65267,749264,8952097,123035312,1765177435,
%T 28465913320,475981018033,8737060100680,167186734385795,
%U 3446660462332576,73894280818392641,1691674707666258848,40160865451008020651,1009283508170762388536
%N Expansion of e.g.f. Product_{k>=1} 1 / (1 - sin(x^k)).
%t nmax = 20; CoefficientList[Series[Product[1/(1 - Sin[x^k]), {k, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]!
%Y Cf. A000111, A203716, A229263, A270294, A270662, A270663, A270664, A270665, A270666, A330515, A330516, A330517.
%K nonn
%O 0,3
%A _Ilya Gutkovskiy_, Dec 17 2019