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 A372038 #7 Apr 17 2024 08:33:56 %S A372038 1,3,3,-9,0,81,-171,-621,3672,324,-54918,125145,563922,-3381345, %T A372038 -1013553,59036607,-128956455,-693917604,3979050642,2186515944, %U A372038 -76048363647,153593093106,978492895848,-5278059507771,-4343581909296,107892778958370,-197193416230692 %N A372038 G.f. A(x) satisfies A(x) = ( 1 + 9*x*(1 + x)*A(x) )^(1/3). %F A372038 a(n) = Sum_{k=0..n} 9^k * binomial(k/3+1/3,k) * binomial(k,n-k)/(k+1). %o A372038 (PARI) a(n) = sum(k=0, n, 9^k*binomial(k/3+1/3, k)*binomial(k, n-k)/(k+1)); %Y A372038 Cf. A372036. %K A372038 sign %O A372038 0,2 %A A372038 _Seiichi Manyama_, Apr 16 2024