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
Links
- Eric Weisstein's World of Mathematics, Lambert W-Function.
Programs
-
PARI
my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(-2/3*lambertw(-3*x))))
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).