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 A384092 #6 May 19 2025 11:49:11 %S A384092 1,1,67,19316,14842986,23959995900,70300141076691,340026368533209120, %T A384092 2526875675012579004324,27358621384723375076245950, %U A384092 414013875603209906596527455633,8469874364125222067804767445806552,227937197746419681734617268030982470980,7887251806534473871432104574423885714752540 %N A384092 a(n) = [x^n] Product_{k=1..n} 1/(1 - k^2*x)^n. %F A384092 a(n) ~ exp(n + 12/5) * n^(3*n - 1/2) / (sqrt(2*Pi) * 3^n). %t A384092 Table[SeriesCoefficient[Product[1/(1-k^2*x)^n, {k, 0, n}], {x, 0, n}], {n, 0, 15}] %Y A384092 Cf. A351508, A298851, A384091. %K A384092 nonn %O A384092 0,3 %A A384092 _Vaclav Kotesovec_, May 19 2025