OFFSET
0,2
COMMENTS
The e.g.f. given below is Sum_{m=0..6} (A075513(7,m)*exp(9*(m+1)*x))/6!.
LINKS
Michael De Vlieger, Table of n, a(n) for n = 0..554
FORMULA
a(n) = Sum_{m=0..6} (A075513(7, m)*((m+1)*9)^n)/6!.
G.f.: 1/Product_{k=1..7} (1 - 9*k*x).
E.g.f.: (d^7/dx^7)(((exp(9*x)-1)/9)^7)/7! = (exp(9*x) - 384*exp(18*x) + 10935*exp(27*x) - 81920*exp(36*x) + 234375*exp(45*x) - 279936*exp(54*x) + 117649*exp(63*x))/6!.
MATHEMATICA
With[{m = 7}, 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