A380426 E.g.f. A(x) satisfies A(x) = exp( 3 * x * A(x)^(1/3) * exp(x * A(x)^(1/3)) ).

1, 3, 21, 225, 3309, 62223, 1430235, 38940681, 1227116409, 43970226651, 1766653847079, 78696970239165, 3850658628709941, 205350233796536871, 11856632842453069491, 736988120901130761297, 49073265311942508067185, 3485242354486865203370931, 263004127262410708414755135

Offset

0,2

Links

Seiichi Manyama, Table of n, a(n) for n = 0..360

Formula

E.g.f.: B(x)^3, where B(x) is the e.g.f. of A162695.

a(n) = 3 * Sum_{k=0..n} k^(n-k) * (n+3)^(k-1) * binomial(n,k).

Prog

(PARI) a(n) = 3*sum(k=0, n, k^(n-k)*(n+3)^(k-1)*binomial(n, k));

Crossrefs

Cf. A162695, A380425, A380427.

Cf. A380407.

Sequence in context: A303057 A354263 A369795 * A113663 A082545 A074638

Adjacent sequences: A380423 A380424 A380425 * A380427 A380430 A380431

Keyword

nonn,new

Author

Seiichi Manyama, Jan 24 2025

Status

approved