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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.

A379026 a(n) = Sum_{k=0..n} binomial(4*n+k-1,k) * binomial(4*n+k,n-k).

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%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