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 A067055 #22 Feb 10 2025 15:14:59 %S A067055 1,1,8,46656,63403380965376,15407021574586368000000000000000, %T A067055 1009212044656507725162109374628859215872000000000000000000000, %U A067055 46564508204734663249790730337537405675293855389346558493242680777666577039360000000000000000000000000000 %N A067055 a(n) = (n!)^(n*(n+1)/2). %F A067055 (Product of first n natural numbers )^(sum of first n natural numbers ) %F A067055 a(n) ~ (2*Pi)^(n*(n+1)/4) * n^(n*(n+1)*(2*n+1)/4) / exp((n+1)*(12*n^2 - 1)/24). - _Vaclav Kotesovec_, Apr 14 2023 %e A067055 a(5) = (5!)^(1+...+5) = 120^15 = 15407021574586368000000000000000. a(6) = 720^21. %p A067055 seq(mul(mul(j^k,j=1..n), k=1..n), n=0..7); # _Zerinvary Lajos_, Jun 02 2007 %t A067055 Table[n!^(n(n + 1)/2), {n, 1, 7}] %o A067055 (PARI) a(n) = (n!)^(n*(n+1)/2) %Y A067055 Cf. A000142, A000217. %K A067055 easy,nonn %O A067055 0,3 %A A067055 _Amarnath Murthy_, Jan 02 2002 %E A067055 More terms from _Jason Earls_ and _Robert G. Wilson v_, Jan 04 2002 %E A067055 a(0)=1 prepended by _Alois P. Heinz_, Nov 13 2018