A167974 Signature sequence of Phi^6 = 17.944271909999..., 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, 1, 19, 2, 20, 3, 21, 4, 22, 5, 23, 6, 24, 7, 25, 8, 26, 9, 27, 10, 28, 11, 29, 12, 30, 13, 31, 14, 32, 15, 33, 16, 34, 17, 35, 18, 36, 1, 19, 37, 2, 20, 38, 3, 21, 39, 4, 22, 40, 5, 23, 41, 6, 24, 42, 7, 25, 43, 8, 26, 44, 9

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..79.

Mathematica

terms = 79; m = Ceiling[Sqrt[terms]]; s0 = {}; While[s = (Table[i + j*GoldenRatio^6, {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: A093616 A331172 A089247 * A106620 A080685 A074805

Adjacent sequences: A167971 A167972 A167973 * A167975 A167976 A167977

Keyword

nonn

Author

Casey Mongoven, Nov 15 2009

Status

approved