Search: id:A005592
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%I A005592 M1619
%S A005592 2,6,17,46,122,321,842,2206,5777,15126,39602,103681,271442,710646,
%T A005592 1860497,4870846,12752042,33385281,87403802,228826126,599074577,
%U A005592 1568397606,4106118242,10749957121,28143753122,73681302246,192900153617
%N A005592 F(2n+1)+F(2n-1)-1.
%C A005592 For any m, the maximum element in the continued fraction of F(2n+m)/F(m) 
               is a(n) - Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 10 2006
%D A005592 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A005592 S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques 
               Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 
               1992.
%D A005592 M. D. McIlroy, The number of states of a dynamic storage system, Computer 
               J., 25 (No. 3, 1982), 388-392.
%H A005592 S. Plouffe, <a href="http://www.lacim.uqam.ca/%7Eplouffe/articles/MasterThesis.pdf">
               Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures</
               a>, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 
               1992.
%H A005592 S. Plouffe, <a href="http://www.lacim.uqam.ca/%7Eplouffe/articles/FonctionsGeneratrices.pdf">
               1031 Generating Functions and Conjectures</a>, Universit\'{e} du 
               Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
%p A005592 A005592:=-(2-2*z+z**2)/(z-1)/(z**2-3*z+1); [Conjectured by S. Plouffe 
               in his 1992 dissertation.]
%o A005592 sage: [lucas_number2(n,3,1)-1 for n in xrange(1,29)] - Zerinvary Lajos 
               (zerinvarylajos(AT)yahoo.com), Jul 06 2008
%Y A005592 Equals A004146 + 1. Cf. A005248, A065034.
%Y A005592 Sequence in context: A020963 A065068 A109961 this_sequence A102403 A032638 
               A090039
%Y A005592 Adjacent sequences: A005589 A005590 A005591 this_sequence A005593 A005594 
               A005595
%K A005592 nonn,easy,nice
%O A005592 1,1
%A A005592 N. J. A. Sloane (njas(AT)research.att.com).

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