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Search: id:A105229
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| A105229 |
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Sum_{k=0..n} (1-(-1)^( floor( (-n-k)/2^k ) )) * 2^(k-1). |
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+0
3
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| 0, 3, 4, 9, 26, 59, 112, 245, 502, 1015, 2036, 4081, 8178, 16355, 32744, 65517, 131054, 262127, 524268, 1048553, 2097130, 4194283, 8388576, 16777189, 33554406, 67108839, 134217700, 268435425, 536870850, 1073741779, 2147483608, 4294967261, 8589934558
(list; graph; listen)
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OFFSET
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0,2
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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, 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) + A105228(n) = 2^(n+1) for n > 0.
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MAPLE
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A105229 :=proc(n) add( (1-(-1)^( floor( (-n-k)/2^k ) )) * 2^(k-1), k=0..n); end;
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CROSSREFS
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Sequence in context: A034921 A038222 A038629 this_sequence A080849 A058857 A084715
Adjacent sequences: A105226 A105227 A105228 this_sequence A105230 A105231 A105232
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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), Apr 15 2005
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