A380029 Expansion of e.g.f. (1 - 3*x*exp(x))^(1/3).
1, -1, -4, -25, -252, -3545, -63806, -1397781, -36069272, -1071165745, -35977484250, -1348257912221, -55766033179220, -2523251585908521, -123972318738063446, -6572554273909419685, -373979858167243433136, -22731929051273411113313, -1470009560015441800798514
Offset: 0
Programs
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PARI
a(n) = n!*sum(k=0, n, (-3)^k*k^(n-k)*binomial(1/3, k)/(n-k)!);
Formula
a(n) = n! * Sum_{k=0..n} (-3)^k * k^(n-k) * binomial(1/3,k)/(n-k)!.