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A167973
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Signature sequence of Phi^5 = 11.090169943749..., where Phi is the golden ratio 1.6180339887499... .
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1
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1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 1, 13, 2, 14, 3, 15, 4, 16, 5, 17, 6, 18, 7, 19, 8, 20, 9, 21, 10, 22, 11, 23, 12, 1, 24, 13, 2, 25, 14, 3, 26, 15, 4, 27, 16, 5, 28, 17, 6, 29, 18, 7, 30, 19, 8, 31, 20, 9, 32, 21, 10, 33, 22, 11, 34, 23, 12, 1, 35, 24, 13, 2, 36, 25, 14, 3, 37, 26
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OFFSET
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1,2
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REFERENCES
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Clark Kimberling, "Fractal Sequences and Interspersions," Ars Combinatoria 45 (1997) 157-168.
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LINKS
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MATHEMATICA
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terms = 80; m = Ceiling[Sqrt[terms]]; s0 = {}; While[s = (Table[i + j*GoldenRatio^5, {i, 1, m}, {j, 1, m}] // Flatten // SortBy[#, N] &)[[1 ;; terms]] /. GoldenRatio -> 0; s != s0, s0 = s; m = 2 m]; s (* Jean-François Alcover, Jan 08 2017 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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