OFFSET
0,2
COMMENTS
Row m=9 of the array A(9; m,n) := ((8*n+m)(!^8))/m(!^8), m >= 0, n >= 0.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..332
FORMULA
a(n) = ((8*n+9)(!^8))/9(!^8) = A045755(n+2)/9.
E.g.f.: 1/(1-8*x)^(17/8).
G.f.: 1/(1-17x/(1-8x/(1-25x/(1-16x/(1-33x/(1-24x/(1-41x/(1-32x/(1-... (continued fraction). - Philippe Deléham, Jan 07 2012
MATHEMATICA
s=1; lst={s}; Do[s+=n*s; AppendTo[lst, s], {n, 16, 5!, 8}]; lst (* Vladimir Joseph Stephan Orlovsky, Nov 08 2008 *)
With[{nn = 30}, CoefficientList[Series[1/(1 - 8*x)^(17/8), {x, 0, nn}], x]*Range[0, nn]!] (* G. C. Greubel, Aug 16 2018 *)
PROG
(PARI) x='x+O('x^30); Vec(serlaplace(1/(1-8*x)^(17/8))) \\ G. C. Greubel, Aug 16 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(1/(1-8*x)^(17/8))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Aug 16 2018
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
STATUS
approved