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 A368806 #5 Jan 06 2024 11:29:04 %S A368806 1,1,64,60466176,504857282956046106624, %T A368806 46005119909369701466112000000000000000000000, %U A368806 101230154592156481700985865260692304243040378536591360000000000000000000000000000 %N A368806 a(n) = Product_{i=1..j, j=1..k, k=1..n} i*j*k. %F A368806 a(n) = Product_{k=1..n} k^(k*(k+1)/2) * k!^(k+1). %F A368806 a(n) ~ (2*Pi)^(n^2/4 + 3*n/4 + 1/2) * n^(n^3/2 + 7*n^2/4 + 7*n/4 + 1/2) / exp(n^3/2 + 3*n^2/2 + 23*n/24 - 1/8). %t A368806 Table[Product[Product[Product[i*j*k, {i,1,j}], {j,1,k}], {k,1,n}], {n, 0, 6}] %t A368806 Table[Product[k^(k*(k+1)/2) * k!^(k+1), {k, 1, n}], {n, 0, 6}] %Y A368806 Cf. A091868, A255269, A306594, A324427. %K A368806 nonn %O A368806 0,3 %A A368806 _Vaclav Kotesovec_, Jan 06 2024