cp's OEIS Frontend

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.

A199207 a(n) = 7*4^n+1.

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%I A199207 #19 Mar 20 2023 11:53:08
%S A199207 8,29,113,449,1793,7169,28673,114689,458753,1835009,7340033,29360129,
%T A199207 117440513,469762049,1879048193,7516192769,30064771073,120259084289,
%U A199207 481036337153,1924145348609,7696581394433,30786325577729
%N A199207 a(n) = 7*4^n+1.
%H A199207 Vincenzo Librandi, <a href="/A199207/b199207.txt">Table of n, a(n) for n = 0..1000</a>
%H A199207 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (5,-4).
%F A199207 a(n) = 4*a(n-1)-3.
%F A199207 a(n) = 5*a(n-1)-4*a(n-2).
%F A199207 G.f.: (8-11*x)/((1-x)*(1-4*x)). - _Bruno Berselli_, Nov 04 2011
%t A199207 7*4^Range[0,30]+1 (* or *) LinearRecurrence[{5,-4},{8,29},30] (* _Harvey P. Dale_, Jan 21 2023 *)
%o A199207 (Magma) [7*4^n+1: n in [0..30]];
%K A199207 nonn,easy
%O A199207 0,1
%A A199207 _Vincenzo Librandi_, Nov 04 2011