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%I #12 Feb 26 2023 06:55:54
%S 1,1,1,1,0,-2,-5,-4,9,39,46,-101,-516,-624,2021,9704,8847,-58363,
%T -230932,-65902,2085381,6301393,-5195375,-84748630,-174659303,
%U 535875052,3703162955,3578704451,-39485091237,-163826467050,88095454403,2675998434838,6571312338031
%N G.f. satisfies A(x) = 1 + x * A(x * (1 - x^2)).
%H Seiichi Manyama, <a href="/A360896/b360896.txt">Table of n, a(n) for n = 0..952</a>
%F a(0) = 1; a(n) = Sum_{k=0..floor((n-1)/3)} (-1)^k * binomial(n-1-2*k,k) * a(n-1-2*k).
%o (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=0, (i-1)\3, (-1)^j*binomial(i-1-2*j, j)*v[i-2*j])); v;
%Y Cf. A360894, A360897.
%Y Cf. A360885.
%K sign
%O 0,6
%A _Seiichi Manyama_, Feb 25 2023
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