A167975 Signature sequence of Phi^7 = 29.034441853749..., where Phi is the golden ratio 1.6180339887499... .
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 1, 31, 2, 32, 3, 33, 4, 34, 5, 35, 6, 36, 7, 37, 8, 38, 9, 39, 10, 40, 11, 41, 12, 42, 13, 43, 14, 44, 15, 45, 16, 46, 17, 47, 18, 48, 19, 49, 20, 50, 21, 51, 22, 52, 23
Offset: 1
Keywords
References
- Clark Kimberling, "Fractal Sequences and Interspersions," Ars Combinatoria 45 (1997) 157-168.
Programs
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Mathematica
terms = 75; m = Ceiling[Sqrt[terms]]; s0 = {}; While[s = (Table[i + j*GoldenRatio^7, {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 *)