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%I #7 Apr 20 2024 10:23:32
%S 1,1,5,11,95,150,2688,-111,98489,-215578,4416842,-18887063,230670421,
%T -1356589436,13381147908,-92724422022,831047516316,-6277471705749,
%U 53925750947589,-426682784513559,3602138266461603,-29250145766625450,245524688963062050
%N G.f. A(x) satisfies A(x) = 1/( 1 - x*A(x)*(1 + 9*x*A(x))^(1/3) ).
%F a(n) = (1/(n+1)) * Sum_{k=0..n} 9^(n-k) * binomial(n+k,k) * binomial(k/3,n-k).
%o (PARI) a(n) = sum(k=0, n, 9^(n-k)*binomial(n+k, k)*binomial(k/3, n-k))/(n+1);
%Y Cf. A372013, A372136.
%K sign
%O 0,3
%A _Seiichi Manyama_, Apr 20 2024
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