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 A107447 #16 May 28 2025 13:22:35 %S A107447 1,0,0,735471,41749257038001257014137504, %T A107447 8072776113194557737391130747136885454937928869204466648295480, %U A107447 34145180671088019813488798475366394184193477615213303683031012996650190080826664983024305988320017979711374101114480000 %N A107447 a(n) = binomial(n!, n^2). %H A107447 G. C. Greubel, <a href="/A107447/b107447.txt">Table of n, a(n) for n = 1..11</a> %F A107447 From _Vaclav Kotesovec_, May 28 2025: (Start) %F A107447 a(n) ~ n!^(n^2) / (n^2)!. %F A107447 a(n) ~ (2*Pi)^((n^2 - 1)/2) * n^(n^3 - 3*n^2/2 - 1) / exp(n^3 -n^2 - n/12). (End) %t A107447 a[n_]:= Binomial[n!, n^2]; Array[a, 10] %o A107447 (Magma) [Binomial(Factorial(n), n^2): n in [1..9]]; // _G. C. Greubel_, Mar 24 2024 %o A107447 (SageMath) [binomial(factorial(n), n^2) for n in range(1,10)] # _G. C. Greubel_, Mar 24 2024 %Y A107447 Cf. A014062 C(n^2, n), A086687 C(n!, n), A067454. %K A107447 nonn,easy %O A107447 1,4 %A A107447 _Zak Seidov_, May 26 2005