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A289956 Number of permutations of [n] having exactly eight nontrivial cycles. 2
2027025, 218243025, 13818229425, 680438103345, 29079209884725, 1141483113695925, 42556765607801445, 1539279211706361125, 54789078082648965055, 1938102614993339970175, 68612592434209034386175, 2443274471026078967051775, 87839862102761225799417075 (list; graph; refs; listen; history; text; internal format)
OFFSET

16,1

COMMENTS

A nontrivial cycle has size > 1.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 16..450

Wikipedia, Permutation

FORMULA

E.g.f.: (log(1-x)+x)^8/8!*exp(x).

MATHEMATICA

Drop[CoefficientList[Series[(Log[1 - x] + x)^8/8!*Exp[x] , {x, 0, 50}], x] * Table[k !, {k, 0, 50}] , 16] (* Indranil Ghosh, Jul 16 2017 *)

PROG

(PARI) x = 'x + O('x^30); Vec(serlaplace((-log(1-x)-x)^8/8!*exp(x))) \\ Michel Marcus, Jul 16 2017

CROSSREFS

Column k=8 of A136394.

Sequence in context: A104441 A346515 A290037 * A263892 A163682 A045871

Adjacent sequences:  A289953 A289954 A289955 * A289957 A289958 A289959

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jul 16 2017

STATUS

approved

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Last modified November 28 16:42 EST 2021. Contains 349413 sequences. (Running on oeis4.)