OFFSET
0,3
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..167
FORMULA
a(n) = n! * [x^n] 1 / (1 - log(Sum_{k=0..n} |Stirling1(n+1,n-k+1)| * x^k)).
a(n) ~ sqrt(Pi) * n^(3*n + 1/2) / (2^(n - 1/2) * exp(n - 1/3)). - Vaclav Kotesovec, Jan 28 2020
MATHEMATICA
Table[n! SeriesCoefficient[1/(1 - Sum[Log[1 + k x], {k, 1, n}]), {x, 0, n}], {n, 0, 13}]
Table[n! SeriesCoefficient[1/(1 - Log[Sum[Abs[StirlingS1[n + 1, n - k + 1]] x^k, {k, 0, n}]]), {x, 0, n}], {n, 0, 13}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Jan 14 2020
STATUS
approved