A377397 - OEIS

A377397

Expansion of e.g.f. (1 + log(1+x))^4.

1, 4, 8, -4, -12, 96, -552, 3048, -16056, 66432, 90912, -8770656, 191021280, -3500236224, 61933890240, -1104853705344, 20227532685696, -383172326102016, 7539194121034752, -154330467812868096, 3288353649760456704, -72915884204679475200, 1681647873601487155200

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..22.

FORMULA

a(n) = Sum_{k=0..4} k! * binomial(4,k) * Stirling1(n,k).

a(0) = 1; a(n) = Sum_{k=1..n} (-1)^(k-1) * (5 * k/n - 1) * (k-1)! * binomial(n,k) * a(n-k).

PROG

(PARI) a(n) = sum(k=0, 4, k!*binomial(4, k)*stirling(n, k, 1));

CROSSREFS

Cf. A377396.