

A007336


Signature sequence of sqrt 2 (arrange the numbers i+j*x (i,j >= 1) in increasing order; the sequence of i's is the signature of x).
(Formerly M0137)


3



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

1,2


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
Dale Gerdemann, Plot of Adjacent Terms, YouTube Video, 2015.


FORMULA

If delete first occurrence of 1, 2, 3, ... the sequence is unchanged.


MATHEMATICA

Take[ Transpose[ Sort[ Flatten[ Table[{i + j*Sqrt[2], i}, {i, 17}, {j, 15}], 1], #1[[1]] < #2[[1]] &]][[2]], 96] (* Robert G. Wilson v, Jul 24 2004 *)


CROSSREFS

Cf. A007337.
Sequence in context: A227355 A226080 A167287 * A227539 A133334 A003603
Adjacent sequences: A007333 A007334 A007335 * A007337 A007338 A007339


KEYWORD

nonn,easy,nice,eigen


AUTHOR

N. J. A. Sloane, Clark Kimberling


EXTENSIONS

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


STATUS

approved



