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 A289953 Number of permutations of [n] having exactly five nontrivial cycles. 2
 945, 45045, 1344420, 33093060, 745860115, 16201119935, 348820952480, 7567361882080, 167057902281270, 3775807346835342, 87699348621850680, 2098002630307972920, 51760647309783259386, 1317835530989933266850, 34632875559239201852608, 939407586052413176727424 (list; graph; refs; listen; history; text; internal format)
 OFFSET 10,1 COMMENTS A nontrivial cycle has size > 1. LINKS Alois P. Heinz, Table of n, a(n) for n = 10..450 Wikipedia, Permutation FORMULA E.g.f.: (-log(1-x)-x)^5/5!*exp(x). MATHEMATICA Drop[Range[0, 30]! CoefficientList[Series[(-Log[1 - x] - x)^5 / 5! Exp[x], {x, 0, 30}], x], 10] (* Vincenzo Librandi, Jul 23 2017 *) CROSSREFS Column k=5 of A136394. Sequence in context: A133818 A334973 A334975 * A112491 A263889 A133353 Adjacent sequences:  A289950 A289951 A289952 * A289954 A289955 A289956 KEYWORD nonn AUTHOR Alois P. Heinz, Jul 16 2017 STATUS approved

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Last modified June 12 10:58 EDT 2021. Contains 344947 sequences. (Running on oeis4.)