A007337 Signature sequence of sqrt(3). (Formerly M0144)

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

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, 1997, p. 157.

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