The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

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