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 A362245 Expansion of e.g.f. 1/(1 - x * exp(x * (exp(x) - 1))). 4
 1, 1, 2, 12, 84, 680, 6750, 78372, 1035608, 15402816, 254672730, 4631221100, 91872810612, 1974481960464, 45698618329910, 1133221107064620, 29974735063385520, 842413032202481792, 25067919890384214066, 787394937539847359052, 26034146454319615550540 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Table of n, a(n) for n=0..20. FORMULA a(n) = n! * Sum_{i=0..n} Sum_{j=0..n-i} i^j * Stirling2(n-i-j,j)/(n-i-j)!. a(n) ~ n! / ((1 - r + exp(r)*r*(1 + r)) * r^n), where r = 0.60489399462026660841486230237937164068755854932856922096976397761... is the root of the equation exp(r*(exp(r)-1)) = 1/r. - Vaclav Kotesovec, Apr 13 2023 PROG (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-x*exp(x*(exp(x)-1))))) CROSSREFS Cf. A362244, A362246, A362247. Cf. A362238. Sequence in context: A105927 A316702 A235351 * A362237 A052887 A052867 Adjacent sequences: A362242 A362243 A362244 * A362246 A362247 A362248 KEYWORD nonn AUTHOR Seiichi Manyama, Apr 12 2023 STATUS approved

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Last modified November 29 17:03 EST 2023. Contains 367445 sequences. (Running on oeis4.)