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 A199116 #27 May 09 2025 07:59:58
%S A199116 7,25,97,385,1537,6145,24577,98305,393217,1572865,6291457,25165825,
%T A199116 100663297,402653185,1610612737,6442450945,25769803777,103079215105,
%U A199116 412316860417,1649267441665,6597069766657,26388279066625,105553116266497,422212465065985,1688849860263937
%N A199116 a(n) = 6*4^n + 1.
%C A199116 Bisection (odd part) of A181565 and A201630. - _Bruno Berselli_, Dec 04 2011
%C A199116 First differences of A221130, a(n) = A221130(n+2) - A221130(n+1). - _Jaroslav Krizek_, Jan 02 2013
%H A199116 Vincenzo Librandi, <a href="/A199116/b199116.txt">Table of n, a(n) for n = 0..1000</a>
%H A199116 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (5,-4).
%F A199116 a(n) = 4*a(n-1) - 3.
%F A199116 a(n) = 5*a(n-1) - 4*a(n-2).
%F A199116 G.f.: (7-10*x)/((1-x)*(1-4*x)). - _Bruno Berselli_, Nov 04 2011
%F A199116 From _Elmo R. Oliveira_, May 08 2025: (Start)
%F A199116 E.g.f.: exp(x)*(6*exp(3*x) + 1).
%F A199116 a(n) = A140529(n) + 2. (End)
%t A199116 6*4^Range[0,30]+1 (* or *) LinearRecurrence[{5,-4},{7,25},30] (* _Harvey P. Dale_, Apr 18 2024 *)
%o A199116 (Magma) [6*4^n+1: n in [0..30]];
%Y A199116 Cf. A140529, A181565, A201630, A221130.
%K A199116 nonn,easy
%O A199116 0,1
%A A199116 _Vincenzo Librandi_, Nov 04 2011