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Search: id:A103747
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| A103747 |
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Trajectory of 2 under repeated application of the map n -> A102370(n). |
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+0
5
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| 2, 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50, 54, 58, 126, 130, 134, 138, 142, 146, 150, 154, 158, 162, 166, 170, 174, 178, 182, 186, 254, 258, 262, 266, 270, 274, 278, 282, 286, 290, 294, 298, 302, 306, 310, 314, 382, 386, 390, 394, 398, 402, 406, 410, 414, 418, 422
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Although it initially appears that a(n)-8n = the 16-periodic sequence {-2,-6,-10,-14,-18,-22,-26,-30,-34,-38,-42,-46,-50,-54,6,2}, this pattern eventually breaks down. For example, 2^130-2 is in this 16-periodic sequence, so is followed by A102370(2^130-2) = 2^130-2 + 4 + 2^130. However, the first break occurs somewhere beyond the first 400 million terms.
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REFERENCES
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David Applegate, Benoit Cloitre, Philippe DELEHAM and N. J. A. Sloane, Sloping binary numbers: a new sequence related to the binary numbers, J. Integer Seq. 8 (2005), no. 3, Article 05.3.6, 15 pp.
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LINKS
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David Applegate, Benoit Cloitre, Philippe DELEHAM and N. J. A. Sloane, Sloping binary numbers: a new sequence related to the binary numbers [pdf, ps].
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CROSSREFS
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Sequence in context: A016825 A122905 A132417 this_sequence A000952 A039956 A118369
Adjacent sequences: A103744 A103745 A103746 this_sequence A103748 A103749 A103750
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre and David Applegate (david(AT)research.att.com), Mar 25 2005
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