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 A323717 #13 Nov 20 2023 04:21:29 %S A323717 2,4,36,4704,23400000,7778123781120,245221791787632844800, %T A323717 980866487456532919096049664000, %U A323717 647456833933936977045736601678008811520000,89423837415458106416291101560480526982914768896000000000 %N A323717 a(n) = Product_{k=0..n} (n! + k!). %H A323717 G. C. Greubel, <a href="/A323717/b323717.txt">Table of n, a(n) for n = 0..29</a> %F A323717 a(n) ~ 2^((n+3)/2) * Pi^((n+1)/2) * n^((n+1)*(2*n+1)/2) / exp(n^2 + n - 1/12). %F A323717 a(n) ~ 2 * (n!)^(n+1). - _Vaclav Kotesovec_, Mar 28 2019 %t A323717 Table[Product[n!+k!, {k, 0, n}], {n, 0, 10}] %o A323717 (Magma) F:= Factorial; [(&*[F(n) + F(j): j in [0..n]]): n in [0..20]]; // _G. C. Greubel_, Aug 30 2023 %o A323717 (SageMath) f=factorial; [product(f(n) + f(k) for k in range(n+1)) for n in range(21)] # _G. C. Greubel_, Aug 30 2023 %Y A323717 Cf. A036740, A203308, A203483, A323702. %K A323717 nonn %O A323717 0,1 %A A323717 _Vaclav Kotesovec_, Jan 25 2019