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%I #7 Jul 30 2023 09:56:51
%S 1,4,22,194,2103,25129,318816,4214724,57419725,800461033,11363418314,
%T 163708299724,2387365301187,35173224652637,522752043513952,
%U 7827979832083872,117992516684761733,1788819120580964014,27258417705055812586,417270970443908301926
%N G.f. satisfies A(x) = 1/(1-x)^3 + x*A(x)^4.
%F a(n) = Sum_{k=0..n} binomial(n+8*k+2,9*k+2) * binomial(4*k,k) / (3*k+1).
%o (PARI) a(n) = sum(k=0, n, binomial(n+8*k+2, 9*k+2)*binomial(4*k, k)/(3*k+1));
%Y Cf. A162481, A364623.
%K nonn
%O 0,2
%A _Seiichi Manyama_, Jul 30 2023
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