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A367046 G.f. satisfies A(x) = 1 - x^3 + x*A(x)^3.

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%I A367046 #12 Nov 03 2023 11:18:15
%S A367046 1,1,3,11,52,258,1344,7260,40290,228363,1316414,7694154,45491247,
%T A367046 271594897,1635068538,9914851401,60503259435,371269891422,
%U A367046 2289545742174,14181772631025,88194284530464,550444913949048,3446737067467311,21647081264988312
%N A367046 G.f. satisfies A(x) = 1 - x^3 + x*A(x)^3.
%F A367046 a(n) = Sum_{k=0..floor(n/3)} (-1)^k * binomial(2*(n-3*k)+1,k) * binomial(3*(n-3*k),n-3*k)/(2*(n-3*k)+1).
%o A367046 (PARI) a(n) = sum(k=0, n\3, (-1)^k*binomial(2*(n-3*k)+1, k)*binomial(3*(n-3*k), n-3*k)/(2*(n-3*k)+1));
%Y A367046 Cf. A226022, A367047.
%Y A367046 Cf. A366676.
%K A367046 nonn
%O A367046 0,3
%A A367046 _Seiichi Manyama_, Nov 03 2023