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A366402
G.f. A(x) satisfies A(x) = (1 + x * A(x)^(9/2)) / (1 - x).
8
1, 2, 11, 92, 905, 9734, 110867, 1314140, 16041947, 200302394, 2546194497, 32840654064, 428708791851, 5653487876454, 75201937732737, 1007829909427734, 13594917784717860, 184440900147250722, 2515052824018153080, 34451608720123170686, 473853214173320181668
OFFSET
0,2
FORMULA
a(n) = Sum_{k=0..n} binomial(n+7*k/2,n-k) * binomial(9*k/2,k) / (7*k/2+1).
PROG
(PARI) a(n) = sum(k=0, n, binomial(n+7*k/2, n-k)*binomial(9*k/2, k)/(7*k/2+1));
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Oct 09 2023
STATUS
approved