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 A050916 #26 May 03 2025 10:56:33
%S A050916 1,6,51,376,2501,15626,93751,546876,3125001,17578126,97656251,
%T A050916 537109376,2929687501,15869140626,85449218751,457763671876,
%U A050916 2441406250001,12969970703126,68664550781251,362396240234376,1907348632812501,10013580322265626,52452087402343751
%N A050916 a(n) = n*5^n + 1.
%H A050916 Vincenzo Librandi, <a href="/A050916/b050916.txt">Table of n, a(n) for n = 0..1000</a>
%H A050916 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (11,-35,25).
%F A050916 a(n) = 11*a(n-1) - 35*a(n-2) + 25*a(n-3); a(0)=1, a(1)=6, a(2)=51. - _Harvey P. Dale_, Sep 15 2011
%F A050916 G.f.: -(20*x^2-5*x+1)/((x-1)*(5*x-1)^2). - _Colin Barker_, Oct 14 2012
%F A050916 From _Elmo R. Oliveira_, May 03 2025: (Start)
%F A050916 E.g.f.: exp(x)*(1 + 5*x*exp(4*x)).
%F A050916 a(n) = A036291(n) + 1. (End)
%t A050916 Table[n 5^n+1,{n,0,20}] (* or *) LinearRecurrence[{11,-35,25},{1,6,51},20] (* _Harvey P. Dale_, Sep 15 2011 *)
%o A050916 (Magma) [ n*5^n+1: n in [0..20]]; // _Vincenzo Librandi_, Sep 16 2011
%Y A050916 Cf. A002064, A036291.
%K A050916 nonn,easy
%O A050916 0,2
%A A050916 _N. J. A. Sloane_, Dec 30 1999