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 A367652 #9 Nov 26 2023 08:38:01 %S A367652 1,1,2,4,8,16,32,65,131,264,534,1078,2176,4396,8877,17925,36202,73108, %T A367652 147636,298152,602108,1215933,2455552,4958915,10014374,20223760, %U A367652 40841302,82477816,166561622,336366426,679282324,1371791274,2770293218,5594527784,11297988864 %N A367652 G.f. A(x) satisfies A(x) = 1 / (1 - x * (1 + x + x^2) * A(x^3)). %F A367652 a(0) = 1; a(n) = Sum_{k=0..n-1} a(floor(k/3)) * a(n-1-k). %o A367652 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=0, i-1, v[j\3+1]*v[i-j])); v; %Y A367652 Cf. A127680, A367653, A367654. %Y A367652 Cf. A367659. %K A367652 nonn %O A367652 0,3 %A A367652 _Seiichi Manyama_, Nov 26 2023