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Search: id:A115352
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| A115352 |
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A self-similar fractal sequence. |
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+0
1
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| 0, 0, 1, 0, 2, 3, 1, 0, 4, 5, 6, 7, 2, 3, 1, 0, 8, 9, 10, 11, 12, 13, 14, 15, 4, 5, 6, 7, 2, 3, 1, 0, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 8, 9, 10, 11, 12, 13, 14, 15, 4, 5, 6, 7, 2, 3, 1, 0, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49
(list; graph; listen)
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OFFSET
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0,5
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COMMENT
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Begin with 0; then at each stage, s, insert immediately after 0 but before all that follows 0 from the previous stage, s-1, the numbers 2^(s-1) through 2^s-1 in numerical order.
As an example: at stage three, take stage two "0,2,3,1" and insert 2^2 through 2^3-1, i.e.; 4,5,6,7 between 0 and 2^(s-2) which results in stage three as "0,4,5,6,7,2,3,1".
This is the sequence g_n at the end of Section 2 of Levine's paper. The paper also continues several other sequences that are probably not in the OEIS at present
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REFERENCES
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L. Levine, Fractal sequences and restricted Nim, Ars Comb., to appear (2006).
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LINKS
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L. Levine, Fractal sequences and restricted Nim
L. Levine, Home Page
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EXAMPLE
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0
0,1
0,2,3,1
0,4,5,6,7,2,3,1
0,8,9,10,11,12,13,14,15,4,5,6,7,2,3,1
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CROSSREFS
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See A025480 for a similar sequence.
Sequence in context: A082839 A130717 A137396 this_sequence A038554 A100329 A081247
Adjacent sequences: A115349 A115350 A115351 this_sequence A115353 A115354 A115355
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KEYWORD
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nonn,tabf
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AUTHOR
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njas, Mar 10 2006
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EXTENSIONS
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Edited by Robert G. Wilson v (rgwv(at)rgwv.com), Apr 11 2006
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