A167971 Signature sequence of Phi^3 = 4.2360679774998..., where Phi is the golden ratio 1.6180339887499... .

1, 2, 3, 4, 5, 1, 6, 2, 7, 3, 8, 4, 9, 5, 1, 10, 6, 2, 11, 7, 3, 12, 8, 4, 13, 9, 5, 1, 14, 10, 6, 2, 15, 11, 7, 3, 16, 12, 8, 4, 17, 13, 9, 5, 1, 18, 14, 10, 6, 2, 19, 15, 11, 7, 3, 20, 16, 12, 8, 4, 21, 17, 13, 9, 5, 22, 1, 18, 14, 10, 6, 23, 2, 19, 15, 11, 7, 24, 3, 20, 16, 12, 8, 25, 4, 21

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..86.

Index entries for sequences related to signature sequences

Mathematica

terms = 86; m = Ceiling[Sqrt[terms]]; s0 = {}; While[s = (Table[i + j*GoldenRatio^3, {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, A167969.

Sequence in context: A071500 A071516 A279477 * A026284 A071489 A071514

Adjacent sequences: A167968 A167969 A167970 * A167972 A167973 A167974

Keyword

nonn

Author

Casey Mongoven, Nov 15 2009

Status

approved