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 A362210 #8 Apr 11 2023 11:34:30 %S A362210 1,1,7,58,505,4498,40576,368965,3373225,30958240,284934754,2628211291, %T A362210 24283705558,224677646416,2081054132179,19293026227024, %U A362210 178996540057615,1661743445778403,15435351753092176,143439377236572826,1333496145331028230 %N A362210 Expansion of 1/(1 - x/(1-9*x)^(2/3)). %F A362210 a(n) = Sum_{k=0..n} (-9)^k * binomial(-2*(n-k)/3,k) = Sum_{k=0..n} 9^(n-k) * binomial(n-k/3-1,n-k). %o A362210 (PARI) my(N=30, x='x+O('x^N)); Vec(1/(1-x/(1-9*x)^(2/3))) %Y A362210 Cf. A362206. %K A362210 nonn,easy %O A362210 0,3 %A A362210 _Seiichi Manyama_, Apr 11 2023