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 A046033 #27 Feb 16 2025 08:32:38 %S A046033 0,7,215,13823,1727999,373247999,128024063999,65548320767999, %T A046033 47784725839871999,47784725839871999999,63601470092869631999999, %U A046033 109903340320478724095999999,241457638684091756838911999999 %N A046033 a(n) = (n!)^3 - 1. %H A046033 Vincenzo Librandi, <a href="/A046033/b046033.txt">Table of n, a(n) for n = 1..100</a> %H A046033 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Factorial.html">Factorial</a> %F A046033 From _Robert Israel_, Feb 05 2018: (Start) %F A046033 a(n+1)+1 = (a(n)+1)*(n+1)^3. %F A046033 -(n^2+5*n+7)*(n+1)^4*a(n)+(n^2+3*n+1)*(n^4+6*n^3+14*n^2+15*n+7)*a(n+1)-n*(n^2+3*n+3)*a(n+2) = 0. (End) %p A046033 seq((n!)^3-1, n=1..20); # _Robert Israel_, Feb 05 2018 %t A046033 (Range[20]!)^3-1 (* _Harvey P. Dale_, Mar 24 2014 *) %o A046033 (Magma) [Factorial(n)^3-1: n in [1..15]]; // _Vincenzo Librandi_, Mar 25 2014 %Y A046033 Cf. A019514. %K A046033 nonn,easy %O A046033 1,2 %A A046033 _Eric W. Weisstein_