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 A200258 #23 Sep 08 2022 08:46:00 %S A200258 32,1508,70844,3328160,156352676,7345247612,345070285088, %T A200258 16210958151524,761569962836540,35777577295165856,1680784562909958692, %U A200258 78961096879472892668,3709490768772315996704,174267105035419378952420,8186844445895938494767036 %N A200258 a(n) = Fibonacci(8n+7) mod Fibonacci(8n+1). %H A200258 Vincenzo Librandi, <a href="/A200258/b200258.txt">Table of n, a(n) for n = 1..600</a> %H A200258 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (47,-1). %F A200258 From _Bruno Berselli_, Nov 17 2011: (Start) %F A200258 G.f.: 4*x*(8+x)/(1-47*x+x^2). %F A200258 a(n) = 47*a(n-1)-a(n-2). %F A200258 a(n) = ((-5+3r)*(47+21r)^n-(5+3r)*(47-21r)^n)/(5*2^(n-1)) where r=sqrt(5). (End) %F A200258 a(n) = 32*A049668(n) + 4*A049668(n-1). - _R. J. Mathar_, Nov 26 2011 %t A200258 Table[Mod[Fibonacci[(8 n + 7)] , Fibonacci[(8 n + 1)]], {n, 1, 16}] %t A200258 CoefficientList[Series[4*(8+x)/(1-47*x+x^2),{x,0,20}],x] (* _Vincenzo Librandi_, Jul 12 2012 *) %o A200258 (Magma) I:=[32, 1508]; [n le 2 select I[n] else 47*Self(n-1)-Self(n-2): n in [1..20]]; // _Vincenzo Librandi_, Jul 12 2012 %K A200258 nonn,easy %O A200258 1,1 %A A200258 _Artur Jasinski_, Nov 15 2011