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

Author

Franz Vrabec, Jan 01 2009

Keywords

• nonn

Links

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

Crossrefs

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

Programs

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 *)

Formula

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

Extensions

More terms from Alois P. Heinz, Feb 16 2013