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 A373939 #12 Aug 04 2024 10:14:50 %S A373939 1,6,81,1116,15471,214974,2990115,41609376,579152592,8062039188, %T A373939 112233642606,1562482974384,21752802921528,302844316749948, %U A373939 4216246872393294,58699445770011312,817227085779238851,11377633930294786182,158402278494943048161,2205317108305048202244 %N A373939 Expansion of 1/(2 - 1/(1 - 9*x)^(2/3)). %F A373939 a(n) = 9^n * Sum_{k>=0} (1/2)^(k+1) * binomial(n-1+2*k/3,n). %o A373939 (PARI) my(N=20, x='x+O('x^N)); Vec(1/(2-1/(1-9*x)^(2/3))) %Y A373939 Cf. A001027, A373818. %K A373939 nonn,easy %O A373939 0,2 %A A373939 _Seiichi Manyama_, Aug 04 2024