OFFSET
0,2
COMMENTS
a(n)= A038164(2*n).
LINKS
Index entries for linear recurrences with constant coefficients, signature (8, -28, 56, -70, 56, -28, 8, -1).
FORMULA
a(n)= binomial(n+5, 5)*(4*n^2+24*n+21)/21.
G.f.: (1+6*x+x^2)/(1-x)^8.
MATHEMATICA
CoefficientList[Series[(1+6x+x^2)/(1-x)^8, {x, 0, 30}], x] (* or *) LinearRecurrence[ {8, -28, 56, -70, 56, -28, 8, -1}, {1, 14, 85, 344, 1086, 2892, 6798, 14520}, 30] (* Harvey P. Dale, Aug 18 2024 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Feb 02 2001.
STATUS
approved