OFFSET
0,3
FORMULA
a(n) = (2*(n-1)*a(n-1) + (3*n+14)*a(n-2) - 2*(2*n-1)*a(n-3))/n for n > 2.
a(n) = Sum_{k=0..floor(n/2)} (-4)^k * binomial(-5/2,k) * binomial(n-k-1,n-2*k).
PROG
(PARI) a(n) = sum(k=0, n\2, (-4)^k*binomial(-5/2, k)*binomial(n-k-1, n-2*k));
CROSSREFS
KEYWORD
nonn,new
AUTHOR
Seiichi Manyama, Oct 20 2024
STATUS
approved