OFFSET
0,2
COMMENTS
The e.g.f. given below is Sum_{m=0..6} A075513(7,m)*exp(4*(m+1)*x)/6!.
FORMULA
a(n) = Sum_{m=0..6} A075513(7, m)*((m+1)*4)^n/6!.
G.f.: 1/Product_{k=1..7} (1 - 4*k*x).
E.g.f.: (d^7/dx^7)(((exp(4*x)-1)/4)^7)/7! = (exp(4*x) - 384*exp(8*x) + 10935*exp(12*x) - 81920*exp(16*x) + 234375*exp(20*x) - 279936*exp(24*x) + 117649*exp(28*x))/6!.
MATHEMATICA
CoefficientList[Series[1/Product[1-4k x, {k, 7}], {x, 0, 20}], x] (* Harvey P. Dale, Aug 11 2021 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Oct 02 2002
STATUS
approved