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A368176
Expansion of e.g.f. -log(1 - x * exp(2*x)).
1
0, 1, 5, 26, 182, 1704, 19992, 281392, 4620464, 86707584, 1830550400, 42940149504, 1107995749632, 31188982438912, 951100528802816, 31234626965637120, 1099029746752575488, 41248797730190032896, 1644909773059509682176
OFFSET
0,3
FORMULA
a(n) = Sum_{k=1..n} (2*k)^(n-k) * (k-1)! * binomial(n,k).
a(n) ~ (n-1)! * 2^n / LambertW(2)^n. - Vaclav Kotesovec, Mar 11 2024
PROG
(PARI) a(n) = sum(k=1, n, (2*k)^(n-k)*(k-1)!*binomial(n, k));
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Seiichi Manyama, Dec 14 2023
STATUS
approved