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A167970 Signature sequence of phi^2 = 0.38196601125011..., where phi is the golden ratio 0.61803398874989... . 3
1, 1, 1, 2, 1, 2, 1, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 4, 1, 3, 2, 4, 1, 3, 2, 4, 1, 3, 5, 2, 4, 1, 3, 5, 2, 4, 1, 3, 5, 2, 4, 1, 6, 3, 5, 2, 4, 1, 6, 3, 5, 2, 4, 1, 6, 3, 5, 2, 7, 4, 1, 6, 3, 5, 2, 7, 4, 1, 6, 3, 5, 2, 7, 4, 1, 6, 3, 8, 5, 2, 7, 4, 1, 6, 3, 8, 5, 2, 7, 4, 1, 6, 3, 8, 5, 2, 7, 4, 9, 1, 6, 3, 8, 5, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

REFERENCES

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

LINKS

Table of n, a(n) for n=1..105.

MATHEMATICA

terms = 105; m = Ceiling[Sqrt[terms]]; s0 = {}; While[s = (Table[i + j/GoldenRatio^2, {i, 1, m}, {j, 1, m}] // Flatten // SortBy[#, N] &)[[1 ;; terms]] /. GoldenRatio -> \[Infinity]; s != s0, s0 = s; m = 2 m]; s (* Jean-François Alcover, Jan 08 2017 *)

CROSSREFS

Cf. A084531, A084532, A118276.

Sequence in context: A023132 A023124 A023120 * A126433 A237271 A176725

Adjacent sequences:  A167967 A167968 A167969 * A167971 A167972 A167973

KEYWORD

nonn

AUTHOR

Casey Mongoven, Nov 15 2009

STATUS

approved

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Last modified October 18 17:24 EDT 2018. Contains 316323 sequences. (Running on oeis4.)