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%I #11 Oct 09 2023 11:19:26
%S 1,2,9,58,436,3572,30935,278532,2581043,24453404,235790159,2306367444,
%T 22829030276,228240387070,2301498462245,23379656027868,
%U 239038022347243,2457891085704180,25400777844198274,263685720722690420,2748421883496133866
%N G.f. A(x) satisfies A(x) = (1 + x * A(x)^(7/2)) / (1 - x).
%F a(n) = Sum_{k=0..n} binomial(n+5*k/2,n-k) * binomial(7*k/2,k) / (5*k/2+1).
%o (PARI) a(n) = sum(k=0, n, binomial(n+5*k/2, n-k)*binomial(7*k/2, k)/(5*k/2+1));
%Y Cf. A349313, A366400, A366402, A366403, A366404, A366405, A366406, A366407.
%K nonn
%O 0,2
%A _Seiichi Manyama_, Oct 09 2023
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