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 A379026 #10 Dec 14 2024 07:10:12 %S A379026 1,8,136,2612,52888,1103248,23458756,505519792,11001461560, %T A379026 241240165796,5321735043496,117969960106380,2625673485660100, %U A379026 58638653062716488,1313363972969179904,29489827322243843032,663600214363813934328,14961465721142755457484 %N A379026 a(n) = Sum_{k=0..n} binomial(4*n+k-1,k) * binomial(4*n+k,n-k). %F A379026 a(n) = [x^n] ( (1 + x)/(1 - x - x^2) )^(4*n). %o A379026 (PARI) a(n) = sum(k=0, n, binomial(4*n+k-1, k)*binomial(4*n+k, n-k)); %Y A379026 Cf. A262910, A379022, A379025. %Y A379026 Cf. A379024. %K A379026 nonn %O A379026 0,2 %A A379026 _Seiichi Manyama_, Dec 14 2024