Search: id:A048575
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%I A048575
%S A048575 2,5,13,34,89,233,610,1597,4181,10946,28657,75025,196418,514229,1346269,
%T A048575 3524578,9227465,24157817,63245986,165580141,433494437,1134903170,2971215073,
%U A048575 7778742049,20365011074,53316291173,139583862445,365435296162,956722026041
%N A048575 Pisot sequences L(2,5), E(2,5).
%H A048575 <a href="Sindx_Rea.html#recLCC">Index entries for sequences related to 
               linear recurrences with constant coefficients</a>
%H A048575 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/
               RecursiveSequences.html">Recursive Sequences</a>
%F A048575 a(n) = Fib(2n+3). a(n) = 3a(n-1) - a(n-2).
%F A048575 G.f.: (2-x)/(1-3x+x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), 
               Nov 16 2008]
%F A048575 a(n)=[(3/2)+(1/2)*sqrt(5)]^n+(2/5)*[(3/2)+(1/2)*sqrt(5)]^n*sqrt(5)-(2/
               5)*[(3/2)-(1/2)*sqrt(5)]^n *sqrt(5)+[(3/2)-(1/2)*sqrt(5)]^n, with 
               n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Nov 20 2008]
%Y A048575 Subsequence of A001519. See A008776 for definitions of Pisot sequences.
%Y A048575 Sequence in context: A011783 A122367 A001519 this_sequence A099496 A114299 
               A112842
%Y A048575 Adjacent sequences: A048572 A048573 A048574 this_sequence A048576 A048577 
               A048578
%K A048575 nonn
%O A048575 0,1
%A A048575 David W. Wilson (davidwwilson(AT)comcast.net)

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