A360442 E.g.f. satisfies A(x) = x * exp( -A(x) + x * exp(-A(x)) ).

0, 1, 0, -6, 36, -20, -2730, 38178, -93688, -7711272, 184968810, -1036880570, -66424040628, 2427958996164, -24081426198466, -1271591203182510, 66942964987695120, -1027559316530335952, -45046737788036457006, 3332345692967904801438

Offset

0,4

Links

Seiichi Manyama, Table of n, a(n) for n = 0..399

Formula

a(n) = Sum_{k=1..n} k^(n-k) * (-n)^(k-1) * binomial(n,k).

Prog

(PARI) a(n) = sum(k=1, n, k^(n-k)*(-n)^(k-1)*binomial(n, k));

Crossrefs

Cf. A055779, A360471.

Sequence in context: A250202 A036125 A001311 * A137868 A070401 A330681

Adjacent sequences: A360439 A360440 A360441 * A360443 A360444 A360445

Keyword

sign

Author

Seiichi Manyama, Feb 09 2023

Status

approved