A362273 Expansion of e.g.f. 1/(1 - x * exp(-x * exp(-x))).

1, 1, 0, 3, 8, -15, 264, -35, -1968, 87633, -499600, 2375901, 48964200, -830424023, 9884072184, -11730111315, -1407884197216, 36601422429345, -416600839315872, 191233500832189, 136472124267672120, -3513232740127917639, 46653752740647748520

Offset

0,4

Links

Winston de Greef, Table of n, a(n) for n = 0..455

Formula

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

Prog

(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-x*exp(-x*exp(-x)))))

Crossrefs

Cf. A000949, A362274, A362275.

Cf. A362244.

Sequence in context: A065500 A120341 A325904 * A094357 A340003 A136532

Adjacent sequences: A362270 A362271 A362272 * A362274 A362275 A362276

Keyword

sign

Author

Seiichi Manyama, Apr 13 2023

Status

approved