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 A383611 #11 May 02 2025 07:57:23 %S A383611 1,6,45,361,2982,25083,213499,1832508,15827103,137356597,1196642427, %T A383611 10457750151,91630781245,804632867643,7078961780064,62380210284379, %U A383611 550478616300900,4863816606663882,43022548851457447,380930792260360182,3375853250109410583 %N A383611 Expansion of 1/( (1-x^3) * (1-x^3-9*x)^2 )^(1/3). %F A383611 a(n) = Sum_{k=0..floor(n/3)} (-9)^(n-3*k) * binomial(-2/3,n-3*k) * binomial(n-2*k,k). %o A383611 (PARI) a(n) = sum(k=0, n\3, (-9)^(n-3*k)*binomial(-2/3, n-3*k)*binomial(n-2*k, k)); %Y A383611 Cf. A383601, A383610. %Y A383611 Cf. A383599, A383606. %K A383611 nonn %O A383611 0,2 %A A383611 _Seiichi Manyama_, May 02 2025