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A118276 Signature sequence of Phi^2 = 2.618033989... (A104457), where Phi is the golden ratio A001622. 6
1, 2, 3, 1, 4, 2, 5, 3, 6, 1, 4, 7, 2, 5, 8, 3, 6, 1, 9, 4, 7, 2, 10, 5, 8, 3, 11, 6, 1, 9, 4, 12, 7, 2, 10, 5, 13, 8, 3, 11, 6, 14, 1, 9, 4, 12, 7, 15, 2, 10, 5, 13, 8, 16, 3, 11, 6, 14, 1, 9, 17, 4, 12, 7, 15, 2, 10, 18, 5, 13, 8, 16, 3, 11, 19, 6, 14, 1, 9, 17, 4, 12, 20, 7, 15, 2, 10, 18, 5, 13 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Equals A023119 in the first 98 terms, then the sequences differ. [From R. J. Mathar, Aug 08 2008]

REFERENCES

C. Kimberling, "Fractal Sequences and Interspersions", Ars Combinatoria, vol. 45 p 157 1997.

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

Eric Weisstein's World of Mathematics, Signature Sequence

MATHEMATICA

terms = 90; m = Ceiling[Sqrt[terms]]; s0 = {}; While[s = (Table[i + j*GoldenRatio^2, {i, 1, m}, {j, 1, m}] // Flatten // SortBy[#, N] &)[[1 ;; terms]] /. GoldenRatio -> 0; s != s0, s0 = s; m = 2 m]; s (* Jean-Fran├žois Alcover, Jan 08 2017 *)

CROSSREFS

Cf. A084531, A084532, A167970.

Sequence in context: A125159 A179548 A023119 * A023123 A023131 A026276

Adjacent sequences:  A118273 A118274 A118275 * A118277 A118278 A118279

KEYWORD

nonn

AUTHOR

Casey Mongoven, Apr 21 2006

STATUS

approved

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Last modified November 13 13:15 EST 2018. Contains 317149 sequences. (Running on oeis4.)