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 A374676 #8 Jul 16 2024 11:34:35 %S A374676 1,4,117,4416,191025,8959098,443175257,22764880288,1202693106969, %T A374676 64935435950760,3567189106107044,198746486074429164, %U A374676 11203798260525398593,637866038409406067394,36624374381748740836905,2118319467225018572438976,123307986154526506959597225 %N A374676 a(n) = Sum_{k=0..n} binomial(n+k-1,n) * binomial(n+k,n)^2. %F A374676 a(n) = Sum_{k=0..n} (k/(n+k)) * binomial(n+k,k)^3 for n > 0. %o A374676 (PARI) a(n) = sum(k=0, n, binomial(n+k-1, n)*binomial(n+k, n)^2); %Y A374676 Cf. A001791, A374675. %Y A374676 Cf. A112028. %K A374676 nonn %O A374676 0,2 %A A374676 _Seiichi Manyama_, Jul 16 2024