A369784 - OEIS

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A369784

Expansion of e.g.f. exp( (exp(2*(exp(x)-1))-1)/2 ).

1

1, 1, 4, 21, 137, 1068, 9663, 99249, 1137858, 14373531, 198031153, 2951536030, 47270242621, 808917666365, 14720125466652, 283667520561633, 5768057979319853, 123364873473674732, 2767400573883314755, 64950007415991458989, 1591227433994704322322

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..20.

FORMULA

a(n) = Sum_{k=0..n} Stirling2(n,k) * A004211(k).

PROG

(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp((exp(2*(exp(x)-1))-1)/2)))

CROSSREFS

Cf. A000258, A369785.

Cf. A000085, A004211, A346417.

Sequence in context: A052852 A288268 A265952 * A121124 A180399 A349534

Adjacent sequences: A369781 A369782 A369783 * A369785 A369786 A369787

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Feb 01 2024

STATUS

approved