A369783 Expansion of e.g.f. exp( exp(3*(exp(x)-1))-1 ).

1, 3, 21, 192, 2154, 28434, 429213, 7261788, 135698268, 2769463335, 61186736415, 1452889463034, 36857766745749, 993941679586098, 28370018078000985, 853903169641805925, 27014392815958815969, 895723118730738795837, 31048284069527339602902

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Formula

a(n) = Sum_{k=0..n} 3^k * Stirling2(n,k) * Bell(k) = Sum_{k=0..n} Stirling2(n,k) * A247452(k).

Prog

(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(exp(3*(exp(x)-1))-1)))

Crossrefs

Cf. A000258, A346417.

Cf. A000110, A247452.

Sequence in context: A212029 A219535 A292361 * A151388 A210670 A193468

Adjacent sequences: A369780 A369781 A369782 * A369784 A369785 A369786

Keyword

nonn

Author

Seiichi Manyama, Feb 01 2024

Status

approved