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A103745
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a(n) = (A102371(n) + n)/2.
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4
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1, 2, 5, 8, 17, 34, 65, 128, 257, 514, 1029, 2048, 4097, 8194, 16385, 32768, 65537, 131074, 262149, 524296, 1048577, 2097154, 4194305, 8388608, 16777217, 33554434, 67103869, 134217728, 268435457
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Values of A103185 (first zero omitted) which are >= a new power of 2 . The initial values of A103185 are 0*, 1*, 2*, 1, 0, 5*, 2, 1, 0, 1, 2, 1, 8*, 5, 2, 1, ... 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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REFERENCES
| 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
| 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
| a(n) = Sum_{ k>= 1, k==n mod 2^k } 2^(k - 1). - N. J. A. Sloane (njas(AT)research.att.com) and David Applegate (david(AT)research.att.com), Mar 22 2005.
a(n) = A103528(n) + 2^(n-1).
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CROSSREFS
| Cf. A102371.
Sequence in context: A093331 A162216 A032158 * A181586 A112361 A050872
Adjacent sequences: A103742 A103743 A103744 * A103746 A103747 A103748
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KEYWORD
| nonn
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Mar 26 2005
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