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A371660
G.f. satisfies A(x) = 1 + x * A(x)^3 * (1 + A(x) + A(x)^2).
2
1, 3, 36, 603, 11745, 249372, 5599044, 130735620, 3142426428, 77238209502, 1932396279066, 49047725266101, 1259884849971465, 32690034127387431, 855528520866461010, 22556952666651901761, 598607836414445357145, 15976563963437863357146
OFFSET
0,2
LINKS
FORMULA
a(n) = (1/n) * Sum_{k=0..floor(n-1)/2} 3^(n-k) * binomial(n,k) * binomial(4*n-k,n-1-2*k) for n > 0.
PROG
(PARI) a(n) = if(n==0, 1, sum(k=0, (n-1)\2, 3^(n-k)*binomial(n, k)*binomial(4*n-k, n-1-2*k))/n);
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Apr 01 2024
STATUS
approved