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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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Table of n, a(n) for n=0..18. 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 Cf. A009306, A009444, A368177. Cf. A336950. Sequence in context: A346545 A179513 A302896 * A175151 A121750 A143341 Adjacent sequences: A368173 A368174 A368175 * A368177 A368178 A368179 KEYWORD nonn,easy AUTHOR Seiichi Manyama, Dec 14 2023 STATUS approved

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Last modified September 19 09:30 EDT 2024. Contains 376007 sequences. (Running on oeis4.)