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 A306628 Expansion of e.g.f. log(Sum_{k>=0} (k*x)^k). 2
 1, 7, 140, 5394, 336024, 30663840, 3846629520, 634415055120, 133073632016640, 34596321663980160, 10919217470376902400, 4113179201266142515200, 1822997615295693513600000, 939158618068666181592806400, 556530141861219809204393472000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Seiichi Manyama, Table of n, a(n) for n = 1..232 FORMULA a(n) ~ n! * n^n. - Vaclav Kotesovec, Mar 02 2019 MATHEMATICA nmax = 20; Rest[CoefficientList[Series[Log[1 + Sum[(k*x)^k, {k, 1, nmax}]], {x, 0, nmax}], x] * Range[0, nmax]!] (* Vaclav Kotesovec, Mar 02 2019 *) PROG (PARI) N=20; x='x+O('x^N); Vec(serlaplace(log(sum(k=0, N, (k*x)^k)))) CROSSREFS Cf. A000142, A000312, A122949. Sequence in context: A085708 A054606 A351280 * A302912 A191956 A215042 Adjacent sequences: A306625 A306626 A306627 * A306629 A306630 A306631 KEYWORD nonn AUTHOR Seiichi Manyama, Mar 01 2019 STATUS approved

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Last modified July 19 14:41 EDT 2024. Contains 374410 sequences. (Running on oeis4.)