OFFSET
0,3
LINKS
Index entries for linear recurrences with constant coefficients, signature (2,5,3,-3,1).
FORMULA
a(n) = A116090(2*n).
a(n) = 2*a(n-1) + 5*a(n-2) + 3*a(n-3) - 3*a(n-4) + a(n-5).
G.f.: (1 - x - 3*x^2)/(1 - 2*x - 5*x^2 - 3*x^3 + 3*x^4 - x^5).
PROG
(PARI) a(n) = sum(k=0, 3*n\5, binomial(3*n-3*k, 2*k));
(PARI) my(N=30, x='x+O('x^N)); Vec((1-x-3*x^2)/(1-2*x-5*x^2-3*x^3+3*x^4-x^5))
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Aug 11 2024
STATUS
approved