|
| |
|
|
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)
|
|
2
| |
|
|
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
(list; graph; refs; listen; history; internal format)
|
|
|
|
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
|
|
|
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] (from Robert G. Wilson v Jul 24 2004)
|
|
|
CROSSREFS
| Cf. A007337.
Sequence in context: A049085 A193173 A167287 * A133334 A003603 A188277
Adjacent sequences: A007333 A007334 A007335 * A007337 A007338 A007339
|
|
|
KEYWORD
| nonn,easy,nice,eigen
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Clark H. Kimberling [ ck6(AT)mail.evansville.edu ]
|
|
|
EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 24 2004
|
| |
|
|
