OFFSET
0,3
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..400
FORMULA
a(n) = Sum_{k=0..n} A006906(k)*Stirling2(n,k)*k!.
a(n) ~ c * n! / ((3^(2/3) - 2) * (3^(2/3) - 1) * log(1 + 3^(-1/3))^(n+1)), where c = Product_{k>=4} 1/(1 - k/3^(k/3)) = 3468.14377687388560106742710672518465524...
MATHEMATICA
nmax = 20; CoefficientList[Series[Product[1/(1-k*(Exp[x]-1)^k), {k, 1, nmax}], {x, 0, nmax}], x] * Range[0, nmax]!
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Jul 31 2019
STATUS
approved