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 A050917 #25 May 03 2025 10:56:29
%S A050917 1,7,73,649,5185,38881,279937,1959553,13436929,90699265,604661761,
%T A050917 3990767617,26121388033,169789022209,1097098297345,7052774768641,
%U A050917 45137758519297,287753210560513,1828079220031489,11577835060199425,73123168801259521,460675963447934977
%N A050917 a(n) = n*6^n + 1.
%H A050917 Vincenzo Librandi, <a href="/A050917/b050917.txt">Table of n, a(n) for n = 0..1000</a>
%H A050917 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (13,-48,36).
%F A050917 G.f.: -(30*x^2-6*x+1)/((x-1)*(6*x-1)^2). - _Colin Barker_, Oct 14 2012
%F A050917 a(n) = 13*a(n-1) - 48*a(n-2) + 36*a(n-3); a(0)=1, a(1)=7, a(2)=73. - _Harvey P. Dale_, Feb 20 2013
%F A050917 From _Elmo R. Oliveira_, May 03 2025: (Start)
%F A050917 E.g.f.: exp(x)*(1 + 6*x*exp(5*x)).
%F A050917 a(n) = A036292(n) + 1. (End)
%t A050917 Table[n 6^n+1,{n,0,40}] (* or *) LinearRecurrence[{13,-48,36},{1,7,73},40] (* _Harvey P. Dale_, Feb 20 2013 *)
%o A050917 (Magma) [ n*6^n+1: n in [0..20]]; // _Vincenzo Librandi_, Sep 16 2011
%o A050917 (PARI) vector(20, n, n--; n*6^n + 1) \\ _Michel Marcus_, Jun 11 2015
%Y A050917 Cf. A002064, A036292.
%K A050917 nonn,easy
%O A050917 0,2
%A A050917 _N. J. A. Sloane_, Dec 30 1999