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Search: id:A132224
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| A132224 |
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A dense normalized fractal sequence. |
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+0
3
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| 1, 1, 2, 1, 2, 3, 1, 4, 2, 3, 1, 4, 2, 3, 5, 1, 4, 2, 6, 3, 5, 1, 4, 7, 2, 6, 3, 5, 1, 8, 4, 7, 2, 6, 3, 5, 1, 8, 4, 7, 2, 6, 3, 5, 9, 1, 8, 4, 7, 2, 6, 3, 5, 10, 9, 1, 8, 4, 7, 2, 6, 11, 3, 5, 10, 9, 1, 8, 4, 7, 2, 12, 6, 11, 3, 5, 10, 9
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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This sequence is also given by its placement sequence, A132226.
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REFERENCES
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C. Kimberling, Proper self-containing sequences, fractal sequences, and para-sequences, preprint, 2007.
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FORMULA
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This is the normalization of A132223, formed by concatenating segments obtained from segments of A132223, as follows: segment 1 is 1 segment 2 is 12 segment 3 is 123, formed from the segment 1423 in A132223 by retaining only numbers up to 3 segment 4 is 1423, formed from segment 1423 in A32223 by retaining only numbers up to 4. In general, the n-th segment of A132224 is a permutation of (1,2,3,...,n) formed from the first segment of A132223 that contains n by deleting from it all numbers greater than n.
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EXAMPLE
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The first 7 successive segments are 1, 12, 123, 1423, 14235, 142635, 1472635.
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CROSSREFS
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Cf. A132223.
Sequence in context: A122087 A139642 A021475 this_sequence A133299 A132163 A110582
Adjacent sequences: A132221 A132222 A132223 this_sequence A132225 A132226 A132227
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu), Aug 14 2007
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