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 A277505 E.g.f.: -LambertW(-x)/(1-x). 3
 0, 1, 4, 21, 148, 1365, 15966, 229411, 3932440, 78438681, 1784386810, 45565679511, 1289796524820, 40065439945141, 1354630932486118, 49512390012682395, 1945119744809765296, 81728227537432878513, 3657019655412488345202, 173610723750748520091679 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS G. C. Greubel, Table of n, a(n) for n = 0..385 FORMULA For n > 0, a(n) = Sum_{k=1..n} binomial(n,k) * k^(k-1) * (n-k)!. a(n) ~ n^(n-1) / (1-exp(-1)). MATHEMATICA CoefficientList[Series[-LambertW[-x]/(1-x), {x, 0, 20}], x] * Range[0, 20]! Flatten[{0, Table[Sum[Binomial[n, k]*k^(k-1)*(n-k)!, {k, 1, n}], {n, 1, 20}]}] PROG (PARI) x='x+O('x^50); concat([0], Vec(serlaplace(-lambertw(-x)/(1-x)))) \\ G. C. Greubel, Nov 12 2017 CROSSREFS Cf. A000169, A277511. Sequence in context: A247054 A006153 A286286 * A183387 A346430 A324236 Adjacent sequences: A277502 A277503 A277504 * A277506 A277507 A277508 KEYWORD nonn AUTHOR Vaclav Kotesovec, Oct 18 2016 STATUS approved

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Last modified September 21 07:12 EDT 2023. Contains 365494 sequences. (Running on oeis4.)