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