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 A173314 #16 Dec 04 2024 08:48:31
%S A173314 7,7,13,37,145,721,4321,30241,241921,2177281,21772801,239500801,
%T A173314 2874009601,37362124801,523069747201,7846046208001,125536739328001,
%U A173314 2134124568576001,38414242234368001,729870602452992001
%N A173314 a(n) = 6*n!+1.
%H A173314 Vincenzo Librandi, <a href="/A173314/b173314.txt">Table of n, a(n) for n = 0..200</a>
%F A173314 a(0)=7, a(n) = n*a(n-1)-n+1. - _Vincenzo Librandi_, Sep 29 2013
%e A173314 For n=0, a(0)=7; n=1,a(1)=7; n=2, a(2)=13; n=3, a(3)=37; n=4, a(4)=145.
%t A173314 Table[6 n! + 1, {n, 0, 25}] (* _Vincenzo Librandi_, Sep 29 2013 *)
%o A173314 (Magma) [6*Factorial(n) + 1: n in [0..25]]; // _Vincenzo Librandi_, Sep 29 2013
%o A173314 (Magma) [7] cat [n eq 1 select n+6 else n*Self(n-1)-n+1: n in [1..25] ]; // _Vincenzo Librandi_, Sep 29 2013
%Y A173314 Cf. sequences of the type k*n!+1: A038507 (k=1), A052898 (k=2), A173324 (k=3), A173322 (k=4), A173319 (k=5), this sequence (k=6).
%K A173314 nonn
%O A173314 0,1
%A A173314 _Vincenzo Librandi_, Feb 16 2010