A362340 -id:A362340 - cp's OEIS frontend

A362341 a(n) = n! * Sum_{k=0..floor(n/3)} (-k/6)^k / (k! * (n-3*k)!).

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

Offset: 0

Seiichi Manyama, Apr 17 2023

sign

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

Cf. A069856, A362340, A362342.

Cf. A351929, A362303, A362348.

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

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

A362342 a(n) = n! * Sum_{k=0..floor(n/4)} (-k/24)^k / (k! * (n-4*k)!).

Original entry on oeis.org

1, 1, 1, 1, 0, -4, -14, -34, 71, 1135, 6091, 22771, -87119, -1847559, -13769755, -70046339, 390688481, 10473961121, 100030347361, 643972996705, -4717305354419, -153449916040259, -1787926183752939, -13926752488607419, 126329848106764765

Offset: 0

Seiichi Manyama, Apr 17 2023

sign

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

Cf. A069856, A362340, A362341.

Cf. A351930, A362345, A362349.

my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x)/(1+lambertw(x^4/24))))

E.g.f.: exp(x) / (1 + LambertW(x^4/24)).

cp's OEIS Frontend

A362341 a(n) = n! * Sum_{k=0..floor(n/3)} (-k/6)^k / (k! * (n-3*k)!).

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