A362275 Expansion of e.g.f. exp(x*exp(-x*exp(-x))).

1, 1, -1, 4, -3, -44, 595, -5214, 36953, -176840, -498969, 31239550, -605916971, 9001842708, -110410388101, 998140500826, -1114748107215, -247879285927184, 8410011463871695, -201620611378992906, 4024515940445770541, -66832538504513547380

Offset

0,4

Links

Winston de Greef, Table of n, a(n) for n = 0..460

Formula

a(n) = Sum_{i=0..n} (-1)^(n-i) * binomial(n,i) * Sum_{j=0..n-i} i^j * j^(n-i-j) * binomial(n-i,j).

Prog

(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x*exp(-x*exp(-x)))))

Crossrefs

Cf. A000949, A362273, A362274.

Cf. A362247.

Sequence in context: A025175 A248247 A016504 * A324671 A249226 A328193

Adjacent sequences: A362272 A362273 A362274 * A362276 A362277 A362278

Keyword

sign

Author

Seiichi Manyama, Apr 13 2023

Status

approved