A153761 Number of degree-n permutations of order exactly 11.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3628800, 43545600, 283046400, 1320883200, 4953312000, 15850598400, 44910028800, 115482931200, 274271961600, 609493248000, 1279935820800, 4644633666390681600, 106826520356358566400, 1281918194457262387200, 10682651561168805120000

Offset

1,11

Links

Alois P. Heinz, Table of n, a(n) for n = 1..200

Formula

E.g.f.: -exp(x)+exp(x+1/11*x^11). - Alois P. Heinz, Feb 16 2013

Maple

a:= proc(n) option remember;
      `if`(n<11, 0, a(n-1)+(1+a(n-11))*(n-1)!/(n-11)!)
    end:
seq(a(n), n=1..30);  # Alois P. Heinz, Feb 16 2013

Mathematica

Rest[CoefficientList[Series[-Exp[x] + Exp[x + 1/11*x^11], {x, 0, 25}], x]*Range[0, 25]!] (* G. C. Greubel, Aug 27 2016 *)

Crossrefs

Column k=11 of A057731. - Alois P. Heinz, Feb 16 2013

Sequence in context: A226889 A284207 A061603 * A133132 A228913 A179065

Adjacent sequences: A153758 A153759 A153760 * A153762 A153763 A153764

Keyword

nonn

Author

Franz Vrabec, Jan 01 2009

Extensions

More terms from Alois P. Heinz, Feb 16 2013

Status

approved