OFFSET
0,3
FORMULA
a(0) = 1; a(n) = Sum_{k=0..floor((n-1)/3)} binomial(n+1,3*k+2) * a(k).
PROG
(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=0, (i-1)\3, binomial(i+1, 3*j+2)*v[j+1])); v;
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Jun 03 2022
STATUS
approved