A385085 a(n) = 2 * (3*n+2)^(n-1).

1, 2, 16, 242, 5488, 167042, 6400000, 296071778, 16063620352, 1000492825922, 70368744177664, 5517094707031250, 477144100447105024, 45126980600732372162, 4633559988356427808768, 513333972375334818668738, 61035156250000000000000000, 7752538100237033690795744642

Offset

0,2

Links

Table of n, a(n) for n=0..17.

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

Formula

E.g.f.: exp(-2/3 * LambertW(-3*x)).

E.g.f.: B(x)^2, where B(x) is the e.g.f. of A052752.

E.g.f. A(x) satisfies:

(1) A(x) = exp(2*x*A(x)^(3/2)).

(2) A(x) = 1/A(-x*A(x)^3).

Prog

(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(-2/3*lambertw(-3*x))))

Crossrefs

Cf. A007334, A385086.

Cf. A052752.

Sequence in context: A203418 A207082 A207176 * A217812 A217813 A217814

Adjacent sequences: A385082 A385083 A385084 * A385086 A385087 A385088

Keyword

nonn,easy

Author

Seiichi Manyama, Jun 17 2025

Status

approved