This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A367716 #9 Nov 28 2023 08:50:53 %S A367716 1,0,2,1,4,6,13,23,44,82,154,292,547,1036,1943,3672,6900,13022,24498, %T A367716 46194,86958,163892,308624,581532,1095275,2063534,3886876,7322523, %U A367716 13793363,25984580,48948062,92209073,173699564,327214934,616397498,1161163428,2187371054 %N A367716 G.f. A(x) satisfies A(x) = 1 / ((1 + x) * (1 - x * (1 + x) * A(x^2))). %F A367716 a(n) = (-1)^n + Sum_{k=0..n-1} a(floor(k/2)) * a(n-1-k). %o A367716 (PARI) a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=(-1)^i+sum(j=0, i-1, v[j\2+1]*v[i-j])); v; %Y A367716 Cf. A005043, A367717, A367718. %Y A367716 Cf. A351973, A367713. %K A367716 nonn %O A367716 0,3 %A A367716 _Seiichi Manyama_, Nov 28 2023