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A364743
G.f. satisfies A(x) = 1 / (1 - x*(1 + x*A(x))^4).
5
1, 1, 5, 19, 85, 402, 1971, 9976, 51633, 272131, 1455486, 7879664, 43096967, 237777710, 1321792096, 7396125088, 41624735353, 235461758085, 1338049873395, 7634930866465, 43726638130854, 251273386911443, 1448362622788376, 8371936106228253
OFFSET
0,3
LINKS
FORMULA
a(n) = (1/(n+1)) * Sum_{k=0..n} binomial(n+1,k) * binomial(4*k,n-k).
PROG
(PARI) a(n) = sum(k=0, n, binomial(n+1, k)*binomial(4*k, n-k))/(n+1);
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Aug 05 2023
STATUS
approved