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A289954 Number of permutations of [n] having exactly six nontrivial cycles. 2
10395, 675675, 26801775, 855870015, 24479795340, 661680519500, 17424049022380, 455359195951660, 11950227130952110, 317363732767667950, 8572733672197564870, 236346930206430701350, 6665648338618807806268, 192596934884274256728700, 5706700987506640526104700 (list; graph; refs; listen; history; text; internal format)
OFFSET

12,1

COMMENTS

A nontrivial cycle has size > 1.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 12..450

Wikipedia, Permutation

FORMULA

E.g.f.: (log(1-x)+x)^6/6!*exp(x).

MATHEMATICA

Drop[Range[0, 30]! CoefficientList[Series[(Log[1 - x] + x)^6 / 6! Exp[x], {x, 0, 30}], x], 12] (* Vincenzo Librandi, Jul 24 2017 *)

PROG

(PARI) x = 'x + O('x^30); Vec(serlaplace((log(1-x)+x)^6/6!*exp(x))) \\ Michel Marcus, Jul 24 2017

CROSSREFS

Column k=6 of A136394.

Sequence in context: A271766 A104439 A290035 * A263890 A279946 A031866

Adjacent sequences:  A289951 A289952 A289953 * A289955 A289956 A289957

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jul 16 2017

STATUS

approved

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Last modified August 5 08:27 EDT 2021. Contains 346464 sequences. (Running on oeis4.)