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 A051188 #50 Aug 12 2024 01:27:08
%S A051188 1,7,98,2058,57624,2016840,84707280,4150656720,232436776320,
%T A051188 14643516908160,1025046183571200,78928556134982400,
%U A051188 6629998715338521600,603329883095805465600,59126328543388935628800
%N A051188 Sept-factorial numbers.
%C A051188 For n >= 1, a(n) is the order of the wreath product of the symmetric group S_n and the Abelian group (C_7)^n. - Ahmed Fares (ahmedfares(AT)my-deja.com), May 07 2001
%H A051188 Vincenzo Librandi, <a href="/A051188/b051188.txt">Table of n, a(n) for n = 0..300</a>
%H A051188 INRIA Algorithms Project, <a href="http://ecs.inria.fr/services/structure?nbr=614">Encyclopedia of Combinatorial Structures 614</a>.
%H A051188 <a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers</a>
%F A051188 a(n) = n!*7^n =: (7*n)(!^7).
%F A051188 a(n) = 7*A034834(n) = Product_{k=1..n} 7*k, n >= 1.
%F A051188 E.g.f.: 1/(1 - 7*x).
%F A051188 G.f.: 1/(1 - 7*x/(1 - 7*x/(1 - 14*x/(1 - 14*x/(1 - 21*x/(1 - 21*x/(1 - 28*x/(1 - 28*x/(1 - ... (continued fraction). - _Philippe Deléham_, Jan 08 2012
%F A051188 From _Amiram Eldar_, Jun 25 2020: (Start)
%F A051188 Sum_{n>=0} 1/a(n) = e^(1/7) (A092516).
%F A051188 Sum_{n>=0} (-1)^n/a(n) = e^(-1/7) (A092750). (End)
%o A051188 (Magma) [7^n*Factorial(n): n in [0..20]]; // _Vincenzo Librandi_, Oct 05 2011
%o A051188 (PARI) a(n) = n!*7^n; \\ _Michel Marcus_, Jun 08 2020
%Y A051188 Cf. A000142, A000165, A032031, A045754, A047053, A047058, A049209, A051186, A052562, A053106, A084947, A092516, A092750, A144827, A144739, A147585.
%K A051188 easy,nonn
%O A051188 0,2
%A A051188 _Wolfdieter Lang_