OFFSET
0,2
COMMENTS
The e.g.f. given below is Sum_{m=0..5} (A075513(6,m)*exp(9*(m+1)*x))/5!.
LINKS
Michael De Vlieger, Table of n, a(n) for n = 0..576
FORMULA
a(n) = Sum_{m=0..5} (A075513(6, m)*((m+1)*9)^n)/5!.
G.f.: 1/Product_{k=1..6} (1 - 9*k*x).
E.g.f.: (d^6/dx^6)(((exp(9*x)-1)/9)^6)/6! = (-exp(9*x) + 160*exp(18*x) - 2430*exp(27*x) + 10240*exp(36*x) - 15625*exp(45*x) + 7776*exp(54*x))/5!.
MATHEMATICA
With[{m = 6}, Array[9^(# - m) StirlingS2[#, m] &, 13, m]] (* Michael De Vlieger, Dec 24 2017, after Indranil Ghosh at A075504 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Oct 02 2002
STATUS
approved