A167973 Signature sequence of Phi^5 = 11.090169943749..., where Phi is the golden ratio 1.6180339887499... .

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

Offset

1,2

References

Clark Kimberling, "Fractal Sequences and Interspersions," Ars Combinatoria 45 (1997) 157-168.

Links

Table of n, a(n) for n=1..80.

Mathematica

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 *)

Crossrefs

Cf. A084531, A084532.

Sequence in context: A297241 A034326 A053833 * A087999 A106614 A297242

Adjacent sequences: A167970 A167971 A167972 * A167974 A167975 A167976

Keyword

nonn

Author

Casey Mongoven, Nov 15 2009

Status

approved