The OEIS is supported by the many generous donors to the OEIS Foundation.
%I #8 Feb 28 2023 06:48:16
%S 1,1,-1,-3,4,12,-38,-33,428,-696,-3640,23140,-24766,-358024,2254416,
%T -2636188,-48229769,372329934,-777177980,-8375653981,92394060425,
%U -351172999190,-1461026905290,30190430840555,-192411489098224,66898238530023,11177278011895383
%N G.f. satisfies A(x) = 1 + x * (1 - x)^2 * A(x * (1 - x)).
%F a(0) = 1; a(n) = Sum_{k=0..n-1} (-1)^k * binomial(n+1-k,k) * a(n-1-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, (-1)^j*binomial(i+1-j, j)*v[i-j])); v;
%Y Cf. A360887, A360894.
%K sign
%O 0,4
%A _Seiichi Manyama_, Feb 27 2023