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 A198695 #21 May 07 2025 09:13:31
%S A198695 10,43,175,703,2815,11263,45055,180223,720895,2883583,11534335,
%T A198695 46137343,184549375,738197503,2952790015,11811160063,47244640255,
%U A198695 188978561023,755914244095,3023656976383,12094627905535,48378511622143,193514046488575,774056185954303,3096224743817215
%N A198695 a(n) = 11*4^n - 1.
%H A198695 Vincenzo Librandi, <a href="/A198695/b198695.txt">Table of n, a(n) for n = 0..1000</a>
%H A198695 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (5,-4).
%F A198695 a(n) = 4*a(n-1) + 3.
%F A198695 a(n) = 5*a(n-1) - 4*a(n-2), n > 1.
%F A198695 G.f.: (10-7*x)/((4*x-1)*(x-1)). - _R. J. Mathar_, Oct 30 2011
%F A198695 From _Elmo R. Oliveira_, May 07 2025: (Start)
%F A198695 E.g.f.: exp(x)*(11*exp(3*x) - 1).
%F A198695 a(n) = A199211(n) - 2. (End)
%t A198695 11*4^Range[0,30]-1 (* or *) NestList[4#+3&,10,30] (* or *) LinearRecurrence[ {5,-4},{10,43},30] (* _Harvey P. Dale_, Aug 07 2021 *)
%o A198695 (Magma) [11*4^n-1: n in [0..30]];
%Y A198695 Cf. A024056, A097743, A114569, A156760, A199211.
%K A198695 nonn,easy
%O A198695 0,1
%A A198695 _Vincenzo Librandi_, Oct 29 2011