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A289952 Number of permutations of [n] having exactly four nontrivial cycles. 2
105, 3465, 74025, 1346345, 23079595, 391180075, 6719395683, 118538975555, 2163255564470, 40995539853814, 808279043604630, 16591622809290774, 354584560193653306, 7886213669622441146, 182405117548079061482, 4383906242299647034026, 109380730176142312738279 (list; graph; refs; listen; history; text; internal format)
OFFSET

8,1

COMMENTS

A nontrivial cycle has size > 1.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 8..450

Wikipedia, Permutation

FORMULA

E.g.f.: (log(1-x)+x)^4/4!*exp(x).

MATHEMATICA

Drop[Range[0, 30]! CoefficientList[Series[(Log[1 - x] + x)^4 / 4! Exp[x], {x, 0, 30}], x], 8] (* Vincenzo Librandi, Jul 23 2017 *)

CROSSREFS

Column k=4 of A136394.

Sequence in context: A018233 A154633 A122814 * A112490 A006361 A221791

Adjacent sequences:  A289949 A289950 A289951 * A289953 A289954 A289955

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jul 16 2017

STATUS

approved

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Last modified October 19 12:10 EDT 2021. Contains 348088 sequences. (Running on oeis4.)