A367179 E.g.f. satisfies A(x) = 1 + log(1 + x*A(x)^3)/A(x)^2.
1, 1, 1, -7, -74, 14, 10736, 124032, -1695672, -81281688, -528840024, 47385631512, 1540148366736, -12438137705904, -2292918626509536, -48210827445848832, 2456594159904115200, 177787615056364279296, 782103240212585461632
Offset: 0
Keywords
Programs
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PARI
a(n) = sum(k=0, n, (3*n-2*k)!/(3*n-3*k+1)!*stirling(n, k, 1));
Formula
a(n) = Sum_{k=0..n} (3*n-2*k)!/(3*n-3*k+1)! * Stirling1(n,k).