OFFSET
12,3
LINKS
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
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