OFFSET
0,3
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..226
FORMULA
a(n) ~ c * d^n * n^(2*n + 1/2), where d = 0.4573611067742364103005235654624761643997061199669064548746966610712579358... and c = 2.41592773370058066984975000807924527905758896927935098069320182397... - Vaclav Kotesovec, Jul 02 2022
MATHEMATICA
Table[n! * SeriesCoefficient[1/(1 + HarmonicNumber[n] + E^((n + 1)*x) * LerchPhi[E^x, 1, n + 1] + Log[1 - E^x]), {x, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, Jul 02 2022 *)
PROG
(PARI) a(n) = n!*polcoef(1/(1-sum(k=1, n, (exp(k*x+x*O(x^n))-1)/k)), n);
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Jul 01 2022
STATUS
approved