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A153761 Number of degree-n permutations of order exactly 11. 3
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified November 18 10:38 EST 2017. Contains 294887 sequences.