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 A020712 #34 Jun 05 2016 22:53:29 %S A020712 5,8,13,21,34,55,89,144,233,377,610,987,1597,2584,4181,6765,10946, %T A020712 17711,28657,46368,75025,121393,196418,317811,514229,832040,1346269, %U A020712 2178309,3524578,5702887,9227465,14930352,24157817,39088169,63245986,102334155,165580141 %N A020712 Pisot sequences E(5,8), P(5,8). %C A020712 Pisano period lengths: 1, 3, 8, 6, 20, 24, 16, 12, 24, 60, 10, 24, 28, 48, 40, 24, 36, 24, 18, 60,.. - _R. J. Mathar_, Aug 10 2012 %H A020712 Colin Barker, <a href="/A020712/b020712.txt">Table of n, a(n) for n = 0..1000</a> %H A020712 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a> %H A020712 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (1,1). %F A020712 a(n) = Fib(n+5). a(n) = a(n-1) + a(n-2). %F A020712 O.g.f.: (5+3x)/(1-x-x^2). a(n)=A020701(n+1). - _R. J. Mathar_, May 28 2008 %F A020712 a(n) = (2^(-1-n)*((1-sqrt(5))^n*(-11+5*sqrt(5))+(1+sqrt(5))^n*(11+5*sqrt(5))))/sqrt(5). - _Colin Barker_, Jun 05 2016 %t A020712 CoefficientList[Series[(-3 z - 5)/(z^2 + z - 1), {z, 0, 200}], z] (* _Vladimir Joseph Stephan Orlovsky_, Jun 11 2011 *) %t A020712 LinearRecurrence[{1,1},{5,8},40] (* _Harvey P. Dale_, Dec 28 2013 *) %o A020712 (PARI) a(n)=fibonacci(n+5) \\ _Charles R Greathouse IV_, Jan 17 2012 %Y A020712 Subsequence of A020701 and hence A020695, A000045. See A008776 for definitions of Pisot sequences. %Y A020712 Trisections: A015448, A014445, A033887. %K A020712 nonn,easy %O A020712 0,1 %A A020712 _David W. Wilson_