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 A255358 #12 Apr 25 2024 08:20:37 %S A255358 1,1,40320,439039216240867959122165760000000 %N A255358 Product_{k=0..n} (k^3)!. %C A255358 The next term a(4) has 122 digits. %H A255358 Vaclav Kotesovec, <a href="/A255358/b255358.txt">Table of n, a(n) for n = 0..6</a> %F A255358 a(n) ~ c * n^(29/40 + 3*n/2 + 3*n^2/4 + 3*n^3/2 + 3*n^4/4) * (2*Pi)^(n/2) / exp(n*(n+2)*(12 - 6*n + 7*n^2)/16), where c = A255511 = 4.113740552015338123052453340090368136... %F A255358 a(n) = Product_{j=1..n^3} j^(n - ceiling(j^(1/3)) + 1). - _Vaclav Kotesovec_, Apr 25 2024 %t A255358 Table[Product[(k^3)!, {k, 0, n}], {n, 0, 6}] %t A255358 Table[Product[j^(n - Ceiling[j^(1/3)] + 1), {j, 1, n^3}], {n, 0, 6}] (* _Vaclav Kotesovec_, Apr 25 2024 *) %Y A255358 Cf. A000178, A255322, A255359, A255360. %Y A255358 Cf. A002109, A051675, A255321, A255323, A255344. %Y A255358 Cf. A000142, A255268, A255269, A255511. %K A255358 nonn %O A255358 0,3 %A A255358 _Vaclav Kotesovec_, Feb 21 2015