OFFSET
0,2
COMMENTS
The e.g.f. given below is Sum_{m=0..5} A075513(6,m)*exp(7*(m+1)*x)/5!.
FORMULA
a(n) = Sum_{m=0..5} A075513(6, m)*((m+1)*7)^n/5!.
G.f.: 1/Product_{k=1..6} (1 - 7*k*x).
E.g.f.: (d^6/dx^6)(((exp(7*x)-1)/7)^6)/6! = (-exp(7*x) + 160*exp(14*x) - 2430*exp(21*x) + 10240*exp(28*x) - 15625*exp(35*x) + 7776*exp(42*x))/5!.
MATHEMATICA
CoefficientList[Series[1/Product[1-7k x, {k, 6}], {x, 0, 20}], x] (* Harvey P. Dale, May 25 2012 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Oct 02 2002
STATUS
approved