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 A372036 #8 Apr 17 2024 08:33:49 %S A372036 1,3,3,-6,3,57,-141,-321,2460,-1572,-29400,92505,196905,-1841208, %T A372036 1608636,24028995,-85167204,-161127519,1756947801,-1901675715, %U A372036 -23476298442,91225005105,149447955855,-1890518796654,2421742054233,25239556328043,-106352841162777 %N A372036 G.f. A(x) satisfies A(x) = ( 1 + 9*x*A(x)/(1 - x) )^(1/3). %F A372036 a(n) = Sum_{k=0..n} 9^k * binomial(k/3+1/3,k) * binomial(n-1,n-k)/(k+1). %o A372036 (PARI) a(n) = sum(k=0, n, 9^k*binomial(k/3+1/3, k)*binomial(n-1, n-k)/(k+1)); %Y A372036 Cf. A372017. %K A372036 sign %O A372036 0,2 %A A372036 _Seiichi Manyama_, Apr 16 2024