%I #12 May 29 2018 00:47:21

%S 1,1,2,12,36,300,2520,20160,75600,2192400,30996000,276091200,

%T 2165486400,19070251200,968042275200,41954552640000,190974944160000,

%U 230641066656000,95607669148992000,-2052972258809472000,22839078791168640000,5074390517301705600000

%N E.g.f.: Product_{k>0} (1+k*x^k)^(1/k).

%F E.g.f.: exp(Sum_{k>=1} Sum_{j>=1} (-1)^(k+1)*j^(k-1)*x^(j*k)/k). - _Ilya Gutkovskiy_, May 28 2018

%o (PARI) N=66; x='x+O('x^N); Vec(serlaplace(prod(k=1, N, (1+k*x^k)^(1/k))))

%Y Cf. A022629, A168243, A294462.

%K sign

%O 0,3

%A _Seiichi Manyama_, Oct 31 2017