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Search: id:A161373
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| A161373 |
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"Early bird" binary numbers: write the natural numbers in binary representation in a string 011011100101110111.... Sequence gives numbers which occur in the string strictly ahead of their natural place. |
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+0
2
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| 3, 5, 6, 7, 9, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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A161373 U A161374 = A000027
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EXAMPLE
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Decimal 0 1 2 3 4 5 ... Binary 0 1 10 11 100 101 ... 3 is before its natural position ('1' + beginning of '2' -> 011...) The same for : 5: '2' + beginning of '3' -> 01101... 6: '1' + '2' -> 0110... etc. In the first 5 binary numbers we can find ahead of their natural place: 3,5,6,7,9,11,12,13,14,18,23,25,27,28,37,46,50,55,57
20 ('10100') occurs at the joint of 18 and 19: the last 2 digits of '10010' and the first three of '10011'
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CROSSREFS
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Cf. A116700, A161374
Sequence in context: A054353 A031948 A165712 this_sequence A103826 A079905 A154611
Adjacent sequences: A161370 A161371 A161372 this_sequence A161374 A161375 A161376
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KEYWORD
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easy,nonn
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AUTHOR
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Paolo P. Lava & Giorgio Balzarotti (ppl(AT)spl.at), Jun 08 2009
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EXTENSIONS
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"Strictly" added to definition, offset corrected as customary for lists, 20 added by Hagen von Eitzen (math(AT)von-eitzen.de), Jun 27 2009
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