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A007336
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Signature sequence of sqrt 2 (arrange the numbers i+j*x (i,j >= 1) in increasing order; the sequence of i's is the signature of x).
(Formerly M0137)
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3
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1, 2, 1, 3, 2, 1, 4, 3, 2, 5, 1, 4, 3, 6, 2, 5, 1, 4, 7, 3, 6, 2, 5, 8, 1, 4, 7, 3, 6, 9, 2, 5, 8, 1, 4, 7, 10, 3, 6, 9, 2, 5, 8, 1, 11, 4, 7, 10, 3, 6, 9, 2, 12, 5, 8, 1, 11, 4, 7, 10, 3, 13, 6, 9, 2, 12, 5, 8, 1, 11, 4, 14, 7, 10, 3, 13, 6, 9, 2, 12, 5, 15, 8, 1, 11, 4, 14, 7, 10, 3, 13, 6, 16, 9, 2
(list;
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listen;
history;
text;
internal format)
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OFFSET
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1,2
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REFERENCES
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C. Kimberling, "Fractal Sequences and Interspersions", Ars Combinatoria, vol. 45 p 157 1997.
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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T. D. Noe, Table of n, a(n) for n=1..1000
C. Kimberling, Interspersions
Dale Gerdemann, Plot of Adjacent Terms, YouTube Video, 2015.
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FORMULA
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If delete first occurrence of 1, 2, 3, ... the sequence is unchanged.
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MATHEMATICA
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Take[ Transpose[ Sort[ Flatten[ Table[{i + j*Sqrt[2], i}, {i, 17}, {j, 15}], 1], #1[[1]] < #2[[1]] &]][[2]], 96] (* Robert G. Wilson v, Jul 24 2004 *)
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CROSSREFS
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Cf. A007337.
Sequence in context: A227355 A226080 A167287 * A227539 A133334 A003603
Adjacent sequences: A007333 A007334 A007335 * A007337 A007338 A007339
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KEYWORD
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nonn,easy,nice,eigen
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AUTHOR
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N. J. A. Sloane, Clark Kimberling
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EXTENSIONS
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More terms from Robert G. Wilson v, Jul 24 2004
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STATUS
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approved
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