A362339 a(n) = n! * Sum_{k=0..floor(n/4)} (-k)^k / (k! * (n-4*k)!).

1, 1, 1, 1, -23, -119, -359, -839, 78961, 722737, 3623761, 13297681, -2115602279, -27917827079, -195909017303, -980236890359, 219254440161121, 3780662914771681, 34105981790126881, 216149350680413857, -62275804867272039479, -1325952502191492278039

Offset

0,5

Links

Table of n, a(n) for n=0..21.

Eric Weisstein's World of Mathematics, Lambert W-Function.

Formula

E.g.f.: exp(x) / (1 + LambertW(x^4)).

Prog

(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x)/(1+lambertw(x^4))))

Crossrefs

Cf. A069856, A362337, A362338.

Cf. A362349.

Sequence in context: A069756 A351905 A337751 * A358063 A367722 A293565

Adjacent sequences: A362336 A362337 A362338 * A362340 A362341 A362342

Keyword

sign

Author

Seiichi Manyama, Apr 17 2023

Status

approved