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 A377262 #5 Oct 22 2024 08:00:49 %S A377262 1,6,81,1170,17280,258228,3888891,58901256,896105025,13682343420, %T A377262 209537016021,3217031912808,49497615312768,762991150126320, %U A377262 11780319846487905,182142574910406972,2819755778582302380,43701602632437073050,677982394543585361805,10527648812452161725310 %N A377262 Expansion of 1/(1 - 9*x/(1 - 9*x)^(2/3))^(2/3). %F A377262 a(n) = 9^n * Sum_{k=0..n} (-1)^k * binomial(-2/3,k) * binomial(n-k/3-1,n-k). %o A377262 (PARI) a(n) = 9^n*sum(k=0, n, (-1)^k*binomial(-2/3, k)*binomial(n-k/3-1, n-k)); %Y A377262 Cf. A377238. %K A377262 nonn %O A377262 0,2 %A A377262 _Seiichi Manyama_, Oct 22 2024