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Search: id:A103529
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| 0, 3, 6, 15, 28, 61, 126, 251, 504, 1017, 2042, 4095, 8180, 16373, 32758, 65523, 131056, 262129, 524274, 1048567, 2097148, 4194285, 8388590, 16777195, 33554408, 67108841, 134217706, 268435439, 536870884, 1073741797, 2147483622
(list; graph; listen)
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OFFSET
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1,2
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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 and N. J. A. Sloane, Table of n, a(n) for n = 1..62
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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FORMULA
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a(n) = 2^(n-1) - (n-1) + Sum_{ k >= 1, k == n-1 mod 2^k } 2^k.
a(n+1) = 2^n + A102371(n) for n>=1. a(n) = 2^n - A103530(n). - Philippe DELEHAM, Mar 30 2005
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EXAMPLE
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The initial values of A102370 are 0*, 3*, 6*, 5, 4, 15*, 10, 9, 8, 11, 14, 13, 28*, 23, ... and the starred terms are those which exceed the next power of 2. Their indices (except for the zero term) are given by A000325.
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CROSSREFS
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Cf. A102370, A103530.
Sequence in context: A161625 A069712 A076971 this_sequence A034953 A086737 A063834
Adjacent sequences: A103526 A103527 A103528 this_sequence A103530 A103531 A103532
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com) and David Applegate (david(AT)research.att.com), Mar 22 2005
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