

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
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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 (* JeanFrançois Alcover, Jan 08 2017 *)


CROSSREFS

Cf. A084531, A084532, A167970.
Sequence in context: A125159 A179548 A023119 * A023123 A023131 A356625
Adjacent sequences: A118273 A118274 A118275 * A118277 A118278 A118279


KEYWORD

nonn


AUTHOR

Casey Mongoven, Apr 21 2006


STATUS

approved



