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Search: id:A005592
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| A005592 |
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F(2n+1)+F(2n-1)-1.
(Formerly M1619)
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+0
4
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| 2, 6, 17, 46, 122, 321, 842, 2206, 5777, 15126, 39602, 103681, 271442, 710646, 1860497, 4870846, 12752042, 33385281, 87403802, 228826126, 599074577, 1568397606, 4106118242, 10749957121, 28143753122, 73681302246, 192900153617
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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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
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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.
M. D. McIlroy, The number of states of a dynamic storage system, Computer J., 25 (No. 3, 1982), 388-392.
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LINKS
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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.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
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MAPLE
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A005592:=-(2-2*z+z**2)/(z-1)/(z**2-3*z+1); [Conjectured by S. Plouffe in his 1992 dissertation.]
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PROGRAM
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sage: [lucas_number2(n, 3, 1)-1 for n in xrange(1, 29)] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 06 2008
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CROSSREFS
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Equals A004146 + 1. Cf. A005248, A065034.
Sequence in context: A020963 A065068 A109961 this_sequence A102403 A032638 A090039
Adjacent sequences: A005589 A005590 A005591 this_sequence A005593 A005594 A005595
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KEYWORD
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nonn,easy,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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