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%I A367073 #10 Nov 05 2023 09:01:24
%S A367073 1,2,0,1,6,12,11,30,120,252,408,1104,3415,7710,15984,42609,118422,
%T A367073 281820,657468,1732008,4608288,11375240,28100400,73598112,192776895,
%U A367073 487507038,1239516384,3241480275,8460205842,21733941060,56121723411,146904032622,383900676120
%N A367073 G.f. satisfies A(x) = 1 + 2*x + x^3*A(x)^3.
%F A367073 a(n) = Sum_{k=0..floor(n/3)} 2^(n-3*k) * binomial(2*k+1,n-3*k) * A001764(k).
%o A367073 (PARI) a(n) = sum(k=0, n\3, 2^(n-3*k)*binomial(2*k+1, n-3*k)*binomial(3*k, k)/(2*k+1));
%Y A367073 Cf. A001764, A366555, A367072, A367074.
%Y A367073 Cf. A367112.
%K A367073 nonn
%O A367073 0,2
%A A367073 _Seiichi Manyama_, Nov 05 2023

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