A380022 Expansion of e.g.f. 1/(exp(-4*x) - 4*x*exp(-3*x))^(1/4).
1, 2, 10, 103, 1608, 33201, 850108, 25961489, 920672000, 37177954705, 1684020384036, 84552655333785, 4660526554922032, 279769833061460249, 18167873577214204964, 1268970734106516345721, 94861592588266224161664, 7556876103775629510620193, 639078655735155260051464132
Offset: 0
Keywords
Programs
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PARI
a(n) = n!*sum(k=0, n, (-4)^k*(k+1)^(n-k)*binomial(-1/4, k)/(n-k)!);
Formula
a(n) = n! * Sum_{k=0..n} (-4)^k * (k+1)^(n-k) * binomial(-1/4,k)/(n-k)!.