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 A354695 #8 Jun 03 2022 12:59:31
%S A354695 1,1,3,6,11,21,42,87,189,432,1018,2415,5694,13297,30768,70626,161011,
%T A354695 364977,823536,1851706,4152972,9298653,20800758,46516437,104044590,
%U A354695 232856189,521601174,1169670645,2626188319,5904269526,13292581605,29968831278,67663806228
%N A354695 G.f. A(x) satisfies: A(x) = 1 + x * A(x^3/(1 - x)^3) / (1 - x)^3.
%F A354695 a(0) = 1; a(n) = Sum_{k=0..floor((n-1)/3)} binomial(n+1,3*k+2) * a(k).
%o A354695 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=0, (i-1)\3, binomial(i+1, 3*j+2)*v[j+1])); v;
%Y A354695 Cf. A119685, A354696.
%Y A354695 Cf. A351816, A352045.
%K A354695 nonn
%O A354695 0,3
%A A354695 _Seiichi Manyama_, Jun 03 2022