A167976 Signature sequence of Phi^8 = 46.978713763748..., 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, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 1, 48, 2, 49, 3, 50, 4, 51, 5, 52, 6, 53, 7, 54, 8, 55, 9, 56, 10, 57, 11, 58, 12, 59, 13, 60, 14, 61, 15

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..76.

Mathematica

terms = 76; m = Ceiling[Sqrt[terms]]; s0 = {}; While[s = (Table[i + j*GoldenRatio^8, {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, A167964.

Sequence in context: A323404 A056064 A274055 * A024000 A181983 A274922

Adjacent sequences: A167973 A167974 A167975 * A167977 A167978 A167979

Keyword

nonn

Author

Casey Mongoven, Nov 15 2009

Status

approved