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A366401
G.f. A(x) satisfies A(x) = (1 + x * A(x)^(7/2)) / (1 - x).
12
1, 2, 9, 58, 436, 3572, 30935, 278532, 2581043, 24453404, 235790159, 2306367444, 22829030276, 228240387070, 2301498462245, 23379656027868, 239038022347243, 2457891085704180, 25400777844198274, 263685720722690420, 2748421883496133866
OFFSET
0,2
FORMULA
a(n) = Sum_{k=0..n} binomial(n+5*k/2,n-k) * binomial(7*k/2,k) / (5*k/2+1).
PROG
(PARI) a(n) = sum(k=0, n, binomial(n+5*k/2, n-k)*binomial(7*k/2, k)/(5*k/2+1));
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Oct 09 2023
STATUS
approved