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A347020 E.g.f.: 1 / (1 - 3 * log(1 + x))^(1/3). 3
1, 1, 3, 18, 150, 1644, 22116, 353856, 6554376, 138001896, 3254445144, 84979363248, 2433814616592, 75858381808416, 2556180134677152, 92597465283789312, 3588434497019272320, 148134619713440384640, 6489652665043455707520, 300712023388466713739520 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..19.

FORMULA

a(n) = Sum_{k=0..n} Stirling1(n,k) * A007559(k).

a(n) ~ n! * exp(1/9) / (Gamma(1/3) * 3^(1/3) * n^(2/3) * (exp(1/3) - 1)^(n + 1/3)). - Vaclav Kotesovec, Aug 14 2021

MATHEMATICA

nmax = 19; CoefficientList[Series[1/(1 - 3 Log[1 + x])^(1/3), {x, 0, nmax}], x] Range[0, nmax]!

Table[Sum[StirlingS1[n, k] 3^k Pochhammer[1/3, k], {k, 0, n}], {n, 0, 19}]

CROSSREFS

Cf. A006252, A007559, A320343, A335531, A346982, A347015, A347021, A347022, A347023.

Sequence in context: A138420 A152409 A200320 * A207569 A005412 A145350

Adjacent sequences:  A347017 A347018 A347019 * A347021 A347022 A347023

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Aug 11 2021

STATUS

approved

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Last modified January 25 09:37 EST 2022. Contains 350565 sequences. (Running on oeis4.)