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Search: id:A161001
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| A161001 |
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Those positive integers n that when read in binary contains runs of 0's and 1's being of distinct lengths, the list of lengths forming a permutation of some number of consecutive positive integers. |
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+0
2
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| 1, 3, 4, 6, 7, 15, 24, 28, 31, 35, 39, 49, 55, 57, 59, 63, 112, 120, 127, 255, 391, 399, 451, 463, 480, 483, 487, 496, 511, 536, 540, 560, 572, 624, 632, 776, 782, 784, 798, 880, 888, 900, 902, 912, 926, 944, 956, 964, 966, 968, 974, 984, 988, 1023, 1984, 2016
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Think of binary n as a string S of 0's and 1's. By a "run" of 0's or 1's, it is meant either a substring all of contiguous 0's, each run bounded by 1's or the edge of S; or a substring all of contiguous 1's, each run bounded by 0's or the edge of S.
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EXAMPLE
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451 in binary is 111000011. This contains a run of three 1's, followed by a run of four 0's, followed by a run of two 1's. Since (3,4,2) is a permutation of some number of consecutive positive integers (2,3,4), then 451 is in the sequence.
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CROSSREFS
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Cf. A161000.
Sequence in context: A002982 A093707 A058639 this_sequence A139450 A072152 A069211
Adjacent sequences: A160998 A160999 A161000 this_sequence A161002 A161003 A161004
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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), Jun 01 2009
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EXTENSIONS
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Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Jun 13 2009
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