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A367657 G.f. A(x) satisfies A(x) = 1 / (1 - x - x * (1 + x + x^2 + x^3) * A(x^4)). 4

%I #8 Nov 26 2023 08:37:42

%S 1,2,5,13,34,90,238,629,1662,4394,11616,30707,81173,214584,567259,

%T 1499563,3964128,10479273,27702219,73231500,193589270,511758023,

%U 1352844978,3576279113,9453982143,24991835308,66066533905,174648514118,461687660561,1220482733670

%N G.f. A(x) satisfies A(x) = 1 / (1 - x - x * (1 + x + x^2 + x^3) * A(x^4)).

%F a(0) = 1; a(n) = a(n-1) + Sum_{k=0..n-1} a(floor(k/4)) * a(n-1-k).

%o (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=v[i]+sum(j=0, i-1, v[j\4+1]*v[i-j])); v;

%Y Cf. A367655, A367656, A367658.

%Y Cf. A367653, A367660.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Nov 26 2023

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