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A163256
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Fractal sequence of the interspersion A163253.
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5
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1, 2, 3, 1, 2, 4, 3, 5, 1, 2, 4, 6, 3, 5, 7, 1, 2, 4, 6, 8, 3, 5, 7, 9, 1, 2, 4, 6, 8, 10, 3, 5, 7, 9, 11, 1, 2, 4, 6, 8, 10, 12, 3, 5, 7, 9, 11, 13, 1, 2, 4, 6, 8, 10, 12, 14, 3, 5, 7, 9, 11, 13, 15, 1, 2, 4, 6, 8, 10, 12, 14, 16, 3, 5, 7, 9, 11, 13, 15, 17, 1, 2, 4, 6, 8, 10, 12, 14, 16, 18, 3, 5, 7
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| As a fractal sequence, A163256 contains every positive integer;
indeed, A163256 properly contains itself (infinitely many times).
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REFERENCES
| Clark Kimberling, Doubly interspersed sequences, double interspersions and fractal sequences, The Fibonacci Quarterly 48 (2010) 13-20.
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EXAMPLE
| Append the following segments:
1 2 3
1 2 4 3 5
1 2 4 6 3 5 7
1 2 4 6 8 3 5 7 9
For n>1, the n-th segment arises from the (n-1)st by
inserting 2*n at position n+1 and appending 2*n+1 at
position 2*n+1.
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CROSSREFS
| A163253, A163254, A163255, A163257, A163258.
Sequence in context: A029271 A035459 A048232 * A199263 A181803 A144962
Adjacent sequences: A163253 A163254 A163255 * A163257 A163258 A163259
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KEYWORD
| nonn
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu), Jul 24 2009
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