OFFSET
0,2
FORMULA
a(n) ~ 2^(3*n-1) * c^(2*n) * n^(n - 1/2) / (sqrt(Pi*(c-1)) * (2*c-1)^n * exp(n)), where c = -LambertW(-1,-exp(-1/2)/2) = 1.7564312086261696769827376166... - Vaclav Kotesovec, Jun 15 2022
MATHEMATICA
Table[Sum[Abs@StirlingS1[k + n, n], {k, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, Jun 15 2022 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Peter Luschny, Jun 15 2022
STATUS
approved