A362341 - OEIS

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A362341

a(n) = n! * Sum_{k=0..floor(n/3)} (-k/6)^k / (k! * (n-3*k)!).

2

1, 1, 1, 0, -3, -9, 21, 246, 1065, -4283, -67319, -397484, 2315941, 45914155, 343743037, -2623221054, -62980998639, -571382718039, 5391435590545, 152175023203432, 1622112809355661, -18232162910685569, -591788241447761819, -7247966654986009490

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,5

LINKS

Table of n, a(n) for n=0..23.

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

FORMULA

E.g.f.: exp(x) / (1 + LambertW(x^3/6)).

PROG

(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x)/(1+lambertw(x^3/6))))

CROSSREFS

Cf. A069856, A362340, A362342.

Cf. A351929, A362303, A362348.

Sequence in context: A259367 A193374 A191998 * A098980 A007647 A247182

Adjacent sequences: A362338 A362339 A362340 * A362342 A362343 A362344

KEYWORD

sign

AUTHOR

Seiichi Manyama, Apr 17 2023

STATUS

approved