A380016 Expansion of e.g.f. 1/(exp(-3*x) - 3*x)^(1/3).
1, 2, 13, 161, 2833, 64841, 1827685, 61192181, 2372620801, 104549934977, 5160225776101, 281994042839477, 16902276273364465, 1102519010117525105, 77749077431938305541, 5894145002422856684501, 478015727336387513545345, 41295912476641866286397825, 3786025873450493919700627525
Offset: 0
Keywords
Programs
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PARI
a(n) = n!*sum(k=0, n, (-3)^k*(3*k+1)^(n-k)*binomial(-1/3, k)/(n-k)!);
Formula
a(n) = n! * Sum_{k=0..n} (-3)^k * (3*k+1)^(n-k) * binomial(-1/3,k)/(n-k)!.