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 A367714 #9 Nov 28 2023 08:50:45
%S A367714 1,2,4,8,17,36,76,162,345,734,1564,3332,7097,15121,32216,68634,146228,
%T A367714 311544,663748,1414136,3012859,6418971,13675802,29136686,62076510,
%U A367714 132255753,281774605,600328670,1279017082,2724981797,5805650101,12369100408,26352715431
%N A367714 G.f. A(x) satisfies A(x) = 1 / ((1 - x) * (1 - x * (1 + x + x^2) * A(x^3))).
%F A367714 a(n) = 1 + Sum_{k=0..n-1} a(floor(k/3)) * a(n-1-k).
%o A367714 (PARI) a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=1+sum(j=0, i-1, v[j\3+1]*v[i-j])); v;
%Y A367714 Cf. A367713, A367715.
%Y A367714 Cf. A367656, A367691.
%K A367714 nonn
%O A367714 0,2
%A A367714 _Seiichi Manyama_, Nov 28 2023