A167972 Signature sequence of Phi^4 = 6.8541019662497..., where Phi is the golden ratio 1.6180339887499... .

1, 2, 3, 4, 5, 6, 7, 1, 8, 2, 9, 3, 10, 4, 11, 5, 12, 6, 13, 7, 14, 1, 8, 15, 2, 9, 16, 3, 10, 17, 4, 11, 18, 5, 12, 19, 6, 13, 20, 7, 14, 21, 1, 8, 15, 22, 2, 9, 16, 23, 3, 10, 17, 24, 4, 11, 18, 25, 5, 12, 19, 26, 6, 13, 20, 27, 7, 14, 21, 28, 1, 8, 15, 22, 29, 2, 9, 16, 23, 30, 3, 10, 17

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..83.

Index entries for sequences related to signature sequences

Mathematica

terms = 83; m = Ceiling[Sqrt[terms]]; s0 = {}; While[s = (Table[i + j*GoldenRatio^4, {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, A167968.

Sequence in context: A053829 A033928 A194754 * A360539 A319656 A367699

Adjacent sequences: A167969 A167970 A167971 * A167973 A167974 A167975

Keyword

nonn

Author

Casey Mongoven, Nov 15 2009

Status

approved