%I #8 Sep 18 2021 11:38:03
%S 1,0,2,0,24,-30,694,-1050,37832,-167076,3840946,-16352820,484077316,
%T -3571377810,92305923462,-735565382370,24089429290352,
%U -260389373957160,7612771211634930,-88060997260644552,2819270530524656316,-42624237378570669990,1487399781900667121150
%N E.g.f.: Product_{k>=1} (1 + x^k)^(sin(x)/k).
%o (PARI) N=40; x='x+O('x^N); Vec(serlaplace(prod(k=1, N, (1+x^k)^(sin(x)/k))))
%Y Cf. A347899, A347900.
%K sign
%O 0,3
%A _Seiichi Manyama_, Sep 18 2021