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Search: id:A006722
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| A006722 |
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Somos-6 sequence: a(n) = (a(n-1)a(n-5) + a(n-2)a(n-4) + a(n-3)^2)/a(n-6).
(Formerly M2457)
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+0
13
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| 1, 1, 1, 1, 1, 1, 3, 5, 9, 23, 75, 421, 1103, 5047, 41783, 281527, 2534423, 14161887, 232663909, 3988834875, 45788778247, 805144998681, 14980361322965, 620933643034787, 16379818848380849, 369622905371172929
(list; graph; listen)
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OFFSET
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0,7
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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).
R. H. Buchholz and R. L. Rathbun, "An infinite set of Heron triangles with two rational medians", Amer. Math. Monthly, 104 (1997), 107-115.
David Gale, "The strange and surprising saga of the Somos sequence", Math. Intelligencer 13(1) (1991), pp. 40-42.
J. L. Malouf, "An integer sequence from a rational recursion", Discr. Math. 110 (1992), 257-261.
C. Pickover, Mazes for the Mind, St. Martin's Press, NY, 1992, p. 350.
R. M. Robinson, "Periodicity of Somos sequences", Proc. Amer. Math. Soc., 116 (1992), 613-619.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..100
Index entries for two-way infinite sequences
S. Fomin and A. Zelevinsky, The Laurent phenomemon
M. Somos, Somos 6 Sequence
M. Somos, Brief history of the Somos sequence problem
A. van der Poorten, Hyperelliptic curves, continued fractions and Somos sequences
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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CROSSREFS
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Cf. A006720, A006721, A006723, A048736.
Sequence in context: A146275 A089636 A083366 this_sequence A039774 A114001 A004044
Adjacent sequences: A006719 A006720 A006721 this_sequence A006723 A006724 A006725
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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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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Aug 22 2000
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