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A129255 Permutations with exactly 12 fixed points. 9
1, 0, 91, 910, 16380, 272272, 4919460, 93419352, 1868513010, 39238479280, 863247190806, 19854684036460, 476512419579196, 11912810484279600, 309733072600927300, 8362792960207653240, 234158202885844712475 (list; graph; refs; listen; history; text; internal format)
OFFSET

12,3

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 12..200

FORMULA

E.g.f.: exp(-x)/(1-x)*(x^12/12!). [Zerinvary Lajos, Apr 03 2009]

O.g.f.: (1/12!)*Sum_{k>=12} k!*x^k/(1 + x)^(k+1). - Ilya Gutkovskiy, Apr 15 2017

MAPLE

a:=n->sum(n!*sum((-1)^k/(k-11)!, j=0..n), k=11..n): seq(-a(n)/12!, n=11..28);

restart: G(x):=exp(-x)/(1-x)*(x^12/12!): f[0]:=G(x): for n from 1 to 29 do f[n]:=diff(f[n-1], x) od: x:=0: seq(f[n], n=12..28); # Zerinvary Lajos, Apr 03 2009

MATHEMATICA

With[{nn=40}, Drop[CoefficientList[Series[Exp[-x]/(1 - x) x^12/12!, {x, 0, nn}], x]Range[0, nn]!, 12]] (* Vincenzo Librandi, Feb 19 2014 *)

PROG

(PARI) x='x+O('x^66); Vec( serlaplace(exp(-x)/(1-x)*(x^12/12!)) ) \\ Joerg Arndt, Feb 19 2014

CROSSREFS

Column k=12 of A008290.

Cf. A000166, A000240, A000387, A000449, A000475, A129135, A129136, A129149, A129153, A129217, A129218, A129238, A008291, A170942.

Sequence in context: A213287 A072393 A085952 * A093291 A254519 A185375

Adjacent sequences:  A129252 A129253 A129254 * A129256 A129257 A129258

KEYWORD

nonn

AUTHOR

Zerinvary Lajos, May 25 2007

EXTENSIONS

Changed offset from 0 to 12 by Vincenzo Librandi, Feb 19 2014

Edited by Joerg Arndt, Feb 19 2014

STATUS

approved

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Last modified November 12 19:41 EST 2019. Contains 329078 sequences. (Running on oeis4.)