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 A272167 #13 Apr 21 2024 07:21:10 %S A272167 1,4,864,17915904,57330892800000,41794220851200000000000, %T A272167 9635211808655307020697600000000000, %U A272167 931891782579353562478377930946353561600000000000,48457159197906991133853954271145046614004301737177907200000000000 %N A272167 a(n) = Product_{k=2..n} (k^2-k)^k. %F A272167 a(n) ~ A^2 * sqrt(2*Pi) * n^(n^2 + n - 1/3) / exp(n*(n+2)/2), where A = A074962 is the Glaisher-Kinkelin constant. %F A272167 a(n) = n^n * Gamma(n)^(2*n-1) / BarnesG(n)^2. - _Vaclav Kotesovec_, Apr 21 2024 %t A272167 Table[Product[(k^2-k)^k, {k, 2, n}], {n, 1, 10}] %t A272167 Table[n^n * Gamma[n]^(2*n-1) / BarnesG[n]^2, {n,1,10}] (* _Vaclav Kotesovec_, Apr 21 2024 *) %o A272167 (PARI) a(n) = prod(k=2, n, (k^2-k)^k); \\ _Michel Marcus_, Nov 18 2021 %Y A272167 Cf. A002109, A272168. %K A272167 nonn,easy %O A272167 1,2 %A A272167 _Vaclav Kotesovec_, Apr 21 2016 %E A272167 Definition corrected by _Georg Fischer_, Nov 18 2021