A129238 Permutations with exactly 11 fixed points.

1, 0, 78, 728, 12285, 192192, 3279640, 59001696, 1121107806, 22421988160, 470862104076, 10358965584240, 238256209789598, 5718149032454208, 142953725815812600, 3716796871203401440, 100353515522504876775

Offset

11,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 11..200

Index entries for sequences related to permutations with fixed points

Formula

a(n) = A008290(n,11).

E.g.f.: exp(-x)/(1-x)*(x^11/11!) . [Zerinvary Lajos, Apr 03 2009]

O.g.f.: (1/11!)*Sum_{k>=11} k!*x^k/(1 + x)^(k+1). - Ilya Gutkovskiy, Apr 15 2017

Maple

a:=n->sum(n!*sum((-1)^k/(k-10)!, j=0..n), k=10..n): seq(a(n)/11!, n=10..27);
restart: G(x):=exp(-x)/(1-x)*(x^11/11!): 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=11..27); # Zerinvary Lajos, Apr 03 2009

Mathematica

With[{nn=40}, Drop[CoefficientList[Series[Exp[-x]/(1 - x) x^11/11!, {x, 0, nn}], x]Range[0, nn]!, 11]] (* Vincenzo Librandi, Feb 19 2014 *)

Prog

(PARI) x='x+O('x^66); Vec( serlaplace(exp(-x)/(1-x)*(x^11/11!)) ) \\ Joerg Arndt, Feb 19 2014

Crossrefs

Cf. A008290, A008291, A170942.

Sequence in context: A057803 A126994 A220409 * A297759 A147619 A119093

Adjacent sequences: A129235 A129236 A129237 * A129239 A129240 A129241

Keyword

nonn

Author

Zerinvary Lajos, May 25 2007

Extensions

Changed offset from 0 to 11 by Vincenzo Librandi, Feb 19 2014

Edited by Joerg Arndt, Feb 19 2014

Status

approved