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 A293849 Expansion of e.g.f.: exp(Sum_{n>=1} n^(n-1)*x^n). 2
 1, 1, 5, 67, 1825, 85661, 6208861, 643969495, 90484635137, 16538699920825, 3811890603086101, 1081079416534448651, 369888779067183276385, 150214056908992952336917, 71424576855634502660684525, 39304140073887410352909383071 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..232 FORMULA E.g.f.: exp(Sum_{n>=1} n^(n-1)*x^n). a(0) = 1 and a(n) = (n-1)! * Sum_{k=1..n} k^k*a(n-k)/(n-k)! for n > 0. a(n) ~ n! * n^(n-1). - Vaclav Kotesovec, Oct 18 2017 MATHEMATICA nmax = 20; CoefficientList[Series[E^Sum[k^(k-1)*x^k, {k, 1, nmax}], {x, 0, nmax}], x] * Range[0, nmax]! (* Vaclav Kotesovec, Oct 18 2017 *) PROG (PARI) {a(n) = n!*polcoeff(exp(sum(k=1, n, k^(k-1)*x^k)+x*O(x^n)), n)} CROSSREFS Cf. A293848. Sequence in context: A166619 A323208 A262656 * A244589 A113064 A352860 Adjacent sequences:  A293846 A293847 A293848 * A293850 A293851 A293852 KEYWORD nonn AUTHOR Seiichi Manyama, Oct 17 2017 STATUS approved

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Last modified May 22 09:50 EDT 2022. Contains 353949 sequences. (Running on oeis4.)