OFFSET
0,2
FORMULA
a(n) = (1/(n+1)) * Sum_{k=0..floor(n/5)} binomial(n+k,k) * binomial(6*n+4,n-5*k).
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(serreverse(x*((1-x)^5-x^5))/x)
(PARI) a(n) = sum(k=0, n\5, binomial(n+k, k)*binomial(6*n+4, n-5*k))/(n+1);
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Jan 13 2024
STATUS
approved