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 A373714 #10 Aug 04 2024 10:15:08
%S A373714 1,6,27,144,648,3564,15066,91368,325863,2519910,5487183,80131680,
%T A373714 -19315584,3165288840,-10368295812,157258666944,-910416537216,
%U A373714 9230359934844,-66824394346314,594882273889656,-4709265051598938,40223940845756976,-330361209519974280
%N A373714 Expansion of 1/(2 - (1 + 9*x)^(2/3)).
%F A373714 a(n) = 9^n * Sum_{k>=0} (1/2)^(k+1) * binomial(2*k/3,n).
%o A373714 (PARI) my(N=30, x='x+O('x^N)); Vec(1/(2-(1+9*x)^(2/3)))
%Y A373714 Cf. A001019, A373713.
%K A373714 sign
%O A373714 0,2
%A A373714 _Seiichi Manyama_, Aug 04 2024