

A007337


Signature sequence of sqrt(3).
(Formerly M0144)


9



1, 2, 1, 3, 2, 4, 1, 3, 5, 2, 4, 6, 1, 3, 5, 7, 2, 4, 6, 1, 8, 3, 5, 7, 2, 9, 4, 6, 1, 8, 3, 10, 5, 7, 2, 9, 4, 11, 6, 1, 8, 3, 10, 5, 12, 7, 2, 9, 4, 11, 6, 13, 1, 8, 3, 10, 5, 12, 7, 14, 2, 9, 4, 11, 6, 13, 1, 8, 15, 3, 10, 5, 12, 7, 14, 2, 9, 16, 4, 11, 6, 13, 1, 8, 15, 3, 10, 17, 5, 12, 7, 14, 2, 9
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OFFSET

1,2


COMMENTS

Arrange the numbers i+j*x (i,j >= 1) in increasing order; the sequence of i's is the signature of x.


REFERENCES

C. Kimberling, "Fractal Sequences and Interspersions", Ars Combinatoria, vol. 45 p 157 1997.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).


LINKS

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


MATHEMATICA

Take[ Transpose[ Sort[ Flatten[ Table[{i + j*Sqrt[3], i}, {i, 25}, {j, 17}], 1], #1[[1]] < #2[[1]] &]][[2]], 95] (* Robert G. Wilson v, Jul 24 2004 *)


CROSSREFS

First occurrence of n is given in A022778.
Sequence in context: A158456 A084531 A023129 * A167430 A056892 A136523
Adjacent sequences: A007334 A007335 A007336 * A007338 A007339 A007340


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Clark Kimberling


EXTENSIONS

More terms from Robert G. Wilson v, Jul 24 2004


STATUS

approved



