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Search: id:A160530
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| A160530 |
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Those positive integers n that contain only odd-lengthed runs of 0's and 1's when n is represented in binary. |
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+0
2
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| 1, 2, 5, 7, 8, 10, 14, 17, 21, 23, 29, 31, 32, 34, 40, 42, 46, 56, 58, 62, 65, 69, 71, 81, 85, 87, 93, 95, 113, 117, 119, 125, 127, 128, 130, 136, 138, 142, 160, 162, 168, 170, 174, 184, 186, 190, 224, 226, 232, 234, 238, 248, 250, 254, 257, 261, 263, 273, 277, 279
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Let the binary representation of n be thought of as a string of 0's and 1's. By a "run" of 0's or 1's, it is meant either a contiguous substring all of 0's bounded by 1's or the by the edge of the string, or a contiguous substring all of 1's bounded by 0's or the by the edge of the string.
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MATHEMATICA
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Select[Range[300], And@@OddQ/@Length/@Split[IntegerDigits[ #, 2]]&] (*Chandler*)
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CROSSREFS
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A001196, A160531
Sequence in context: A158704 A131854 A005124 this_sequence A050941 A153083 A140592
Adjacent sequences: A160527 A160528 A160529 this_sequence A160531 A160532 A160533
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KEYWORD
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base,nonn
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AUTHOR
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Leroy Quet (q1qq2qqq3qqqq(AT)yahoo.com), May 17 2009
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EXTENSIONS
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Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), May 19 2009
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