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 A378326 #11 Nov 23 2024 12:47:18
%S A378326 1,1,3,19,219,3901,95838,3022909,116798643,5350403737,283728025998,
%T A378326 17104314563843,1155635807408096,86513627563199279,
%U A378326 7109252862969177287,636268582522962837475,61610670571434193189443,6418044336586421956746033,715718717341021991299583730
%N A378326 a(n) = Sum_{k=0..n} binomial(n-1,k-1) * binomial(n*k,k) / ((n-1)*k+1).
%H A378326 Vaclav Kotesovec, <a href="/A378326/b378326.txt">Table of n, a(n) for n = 0..338</a>
%F A378326 a(n) ~ exp(n + exp(-1) - 1/2) * n^(n - 5/2) / sqrt(2*Pi).
%t A378326 Table[Sum[Binomial[n-1, k-1]*Binomial[n*k, k]/((n-1)*k+1), {k, 0, n}], {n, 0, 20}]
%Y A378326 Cf. A002212, A307678, A349331, A349332, A349333, A349334, A349335.
%Y A378326 Cf. A377098, A378325, A378327.
%K A378326 nonn
%O A378326 0,3
%A A378326 _Vaclav Kotesovec_, Nov 23 2024