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 A048577 #18 Dec 30 2023 23:47:43 %S A048577 3,4,6,9,14,22,35,56,90,145,234,378,611,988,1598,2585,4182,6766,10947, %T A048577 17712,28658,46369,75026,121394,196419,317812,514230,832041,1346270, %U A048577 2178310,3524579,5702888,9227466,14930353,24157818,39088170,63245987,102334156,165580142 %N A048577 Pisot sequence L(3,4). %H A048577 Vincenzo Librandi, <a href="/A048577/b048577.txt">Table of n, a(n) for n = 0..1000</a> %F A048577 a(n) = Fib(n+3)+1. a(n) = 2a(n-1) - a(n-3). %F A048577 a(n) = A020706(n-1), n>0. [From _R. J. Mathar_, Oct 15 2008] %F A048577 G.f.: (3-2*x-2*x^2)/((1-x)*(1-x-x^2)). [_Colin Barker_, Apr 16 2012] %t A048577 CoefficientList[Series[(3-2*x-2*x^2)/((1-x)*(1-x-x^2)),{x,0,40}],x] (* _Vincenzo Librandi_, Apr 27 2012 *) %o A048577 (PARI) a(n)=fibonacci(n+3)+1 \\ _Charles R Greathouse IV_, Apr 16 2012 %o A048577 (Magma) [Fibonacci(n+3)+1: n in [0..40]]; // _Vincenzo Librandi_, Apr 27 2012 %Y A048577 Subsequence of A001611. See A008776 for definitions of Pisot sequences. %K A048577 nonn,easy %O A048577 0,1 %A A048577 _David W. Wilson_