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Search: id:A007337
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| A007337 |
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Signature sequence of sqrt(3).
(Formerly M0144)
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+0
4
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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
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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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 p 157 1997.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1000
C. Kimberling, Interspersions
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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] (from Robert G. Wilson v Jul 24 2004)
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CROSSREFS
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First occurrence of n is given in A022778.
Adjacent sequences: A007334 A007335 A007336 this_sequence A007338 A007339 A007340
Sequence in context: A087470 A084531 A023129 this_sequence A056892 A136523 A003963
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KEYWORD
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nonn
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AUTHOR
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njas, Clark H. Kimberling [ ck6(AT)mail.evansville.edu ]
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 24 2004
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