A385086 a(n) = 2 * (5*n+2)^(n-1).

1, 2, 24, 578, 21296, 1062882, 67108864, 5131452818, 461078666496, 47622573323522, 5559811767271424, 724066662913782498, 104073121367674187776, 16365437809265714289122, 2794811034494209364066304, 515110198093444174897047218, 101914923171285428527995355136

Offset

0,2

Links

Table of n, a(n) for n=0..16.

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

Formula

E.g.f.: exp(-2/5 * LambertW(-5*x)).

E.g.f.: B(x)^2, where B(x) is the e.g.f. of A052782.

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

(1) A(x) = exp(2*x*A(x)^(5/2)).

(2) A(x) = 1/A(-x*A(x)^5).

Prog

(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(-2/5*lambertw(-5*x))))

Crossrefs

Cf. A007334, A385085.

Cf. A052782.

Sequence in context: A014298 A280794 A090316 * A128578 A186632 A089835

Adjacent sequences: A385083 A385084 A385085 * A385087 A385088 A385089

Keyword

nonn,easy

Author

Seiichi Manyama, Jun 17 2025

Status

approved