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 A377238 #9 Oct 21 2024 08:57:54 %S A377238 1,3,27,288,3267,38232,456030,5511726,67275765,827544276,10243778238, %T A377238 127471232682,1593323199828,19992464465031,251700257824749, %U A377238 3178185350410386,40235213754593325,510553935341621550,6492029680359751572,82705296277037467728,1055413999621027732986 %N A377238 Expansion of 1/(1 - 9*x/(1 - 9*x)^(1/3))^(1/3). %F A377238 a(n) = 9^n * Sum_{k=0..n} (-1)^k * binomial(-1/3,k) * binomial(n-2*k/3-1,n-k). %o A377238 (PARI) a(n) = 9^n*sum(k=0, n, (-1)^k*binomial(-1/3, k)*binomial(n-2*k/3-1, n-k)); %Y A377238 Cf. A011782, A377237. %Y A377238 Cf. A377240. %K A377238 nonn %O A377238 0,2 %A A377238 _Seiichi Manyama_, Oct 21 2024