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A167968
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Signature sequence of phi^4 = 0.14589803375032..., where phi is the golden ratio minus 1 (0.61803398874989...).
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3
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1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 4, 3, 2, 1, 4, 3, 2, 1, 4, 3, 2, 1, 4, 3, 2, 1, 4, 3, 2, 1, 4, 3, 2, 1, 4, 3, 2, 1, 5, 4, 3, 2, 1, 5, 4, 3, 2, 1, 5, 4, 3, 2, 1, 5, 4, 3, 2, 1, 5, 4, 3, 2, 1, 5, 4, 3, 2, 1, 5, 4, 3, 2, 1
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OFFSET
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1,8
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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 = 105; m = Ceiling[Sqrt[terms]]; s0 = {}; While[s = (Table[i + j*(GoldenRatio-1)^4, {i, 1, m}, {j, 1, m}] // Flatten // SortBy[#, N]&)[[1 ;; terms]] /. GoldenRatio -> 1; s != s0, s0 = s; m = 2m]; 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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