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 A367718 #9 Nov 28 2023 08:51:00 %S A367718 1,0,2,2,6,9,20,36,72,138,269,520,1010,1958,3798,7365,14284,27704, %T A367718 53728,104202,202089,391939,760128,1474208,2859096,5544986,10754022, %U A367718 20856528,40449464,78448346,152143931,295070345,572264028,1109857872,2152475724,4174545216 %N A367718 G.f. A(x) satisfies A(x) = 1 / ((1 + x) * (1 - x * (1 + x + x^2 + x^3) * A(x^4))). %F A367718 a(n) = (-1)^n + Sum_{k=0..n-1} a(floor(k/4)) * a(n-1-k). %o A367718 (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\4+1]*v[i-j])); v; %Y A367718 Cf. A005043, A367716, A367717. %Y A367718 Cf. A367694, A367715. %K A367718 nonn %O A367718 0,3 %A A367718 _Seiichi Manyama_, Nov 28 2023