A361493 Expansion of e.g.f. exp(exp(x) - 1 + x^3).

1, 1, 2, 11, 39, 172, 1163, 6547, 41772, 335139, 2486215, 20078610, 186139957, 1676540257, 16077206122, 168739976555, 1763716943267, 19358116589964, 226362412711759, 2669223655597955, 32748447519013132, 421204995451111971, 5496921281576148363

Offset

0,3

Links

Table of n, a(n) for n=0..22.

Formula

a(0) = a(1) = 1, a(2) = 2; a(n) = 6 * binomial(n-1,2) * a(n-3) + Sum_{k=1..n} binomial(n-1,k-1) * a(n-k).

Prog

(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(exp(x)-1+x^3)))

Crossrefs

Cf. A355337, A361489.

Sequence in context: A187259 A296593 A125064 * A274326 A055329 A193005

Adjacent sequences: A361490 A361491 A361492 * A361494 A361495 A361496

Keyword

nonn,easy

Author

Seiichi Manyama, Mar 14 2023

Status

approved