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A007337
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Signature sequence of sqrt(3).
(Formerly M0144)
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9
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1, 2, 1, 3, 2, 4, 1, 3, 5, 2, 4, 6, 1, 3, 5, 7, 2, 4, 6, 1, 8, 3, 5, 7, 2, 9, 4, 6, 1, 8, 3, 10, 5, 7, 2, 9, 4, 11, 6, 1, 8, 3, 10, 5, 12, 7, 2, 9, 4, 11, 6, 13, 1, 8, 3, 10, 5, 12, 7, 14, 2, 9, 4, 11, 6, 13, 1, 8, 15, 3, 10, 5, 12, 7, 14, 2, 9, 16, 4, 11, 6, 13, 1, 8, 15, 3, 10, 17, 5, 12, 7, 14, 2, 9
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OFFSET
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1,2
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COMMENTS
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Arrange the numbers i+j*x (i,j >= 1) in increasing order; the sequence of i's is the signature of x.
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REFERENCES
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C. Kimberling, "Fractal Sequences and Interspersions", Ars Combinatoria, vol. 45, 1997, p. 157.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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MATHEMATICA
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Take[ Transpose[ Sort[ Flatten[ Table[{i + j*Sqrt[3], i}, {i, 25}, {j, 17}], 1], #1[[1]] < #2[[1]] &]][[2]], 95] (* Robert G. Wilson v, Jul 24 2004 *)
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CROSSREFS
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First occurrence of n is given in A022778.
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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