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Search: id:A007336
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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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+0
2
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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; graph; listen)
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OFFSET
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1,2
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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).
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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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] (from Robert G. Wilson v Jul 24 2004)
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CROSSREFS
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Cf. A007337.
Sequence in context: A052313 A049085 A167287 this_sequence A133334 A003603 A135227
Adjacent sequences: A007333 A007334 A007335 this_sequence 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 (njas(AT)research.att.com), 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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