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A371914
G.f. A(x) satisfies A(x) = 1 - x/A(x)^3 * (1 - A(x) - A(x)^5).
2
1, 1, 3, 7, 15, 43, 168, 626, 2005, 6245, 22266, 87365, 328727, 1154975, 4086410, 15464587, 60368094, 229327457, 847539610, 3174058754, 12277874065, 47912709420, 184171945435, 701491726600, 2700878181660, 10556457650417, 41330116314628
OFFSET
0,3
FORMULA
a(n) = (1/n) * Sum_{k=0..n} binomial(n,k) * binomial(2*n-5*k,n-k-1) for n > 0.
PROG
(PARI) a(n) = if(n==0, 1, sum(k=0, n, binomial(n, k)*binomial(2*n-5*k, n-k-1))/n);
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Apr 12 2024
STATUS
approved