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Search: id:A105027
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| A105027 |
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Write numbers in binary under each other; to get the next block of 2^k (k >= 0) terms of the sequence, start at 2^k, read diagonals in upward direction and convert to decimal. |
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+0
6
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| 0, 1, 3, 2, 6, 5, 4, 7, 15, 10, 9, 8, 11, 14, 13, 12, 28, 23, 18, 17, 16, 19, 22, 21, 20, 31, 26, 25, 24, 27, 30, 29, 61, 44, 39, 34, 33, 32, 35, 38, 37, 36, 47, 42, 41, 40, 43, 46, 45, 60, 55, 50, 49, 48, 51, 54, 53, 52, 63, 58, 57, 56, 59, 62, 126, 93, 76, 71, 66, 65, 64, 67, 70
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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This is a permutation of the nonnegative integers.
Structure : blocks of size 2^k - 1 taken from A102370, interspersed with terms of A102371 . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 17 2007
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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(2^n - 1) = A102371(n) for n > 0. - Philippe DELEHAM, May 10 2005
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EXAMPLE
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........0
........1
.......10
.......11
......100 <- Starting here, the upward diagonals
......101 read 110, 101, 100, 111, giving the block 6, 5, 4, 7.
......110
......111
.....1000
.....1001
.....1010
.....1011
.........
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CROSSREFS
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Cf. A102370, A105025, A105026, A105028.
Sequence in context: A088452 A049777 A058401 this_sequence A120913 A038722 A145522
Adjacent sequences: A105024 A105025 A105026 this_sequence A105028 A105029 A105030
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KEYWORD
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nonn,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Apr 03 2005
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EXTENSIONS
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More terms from John W. Layman (layman(AT)math.vt.edu), Apr 07 2005
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