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Search: id:A105025
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| A105025 |
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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 downward direction and convert to decimal. |
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+0
9
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| 0, 1, 3, 2, 4, 7, 6, 5, 11, 10, 9, 12, 15, 14, 13, 8, 18, 17, 20, 23, 22, 21, 16, 27, 26, 25, 28, 31, 30, 29, 24, 19, 33, 36, 39, 38, 37, 32, 43, 42, 41, 44, 47, 46, 45, 40, 35, 50, 49, 52, 55, 54, 53, 48, 59, 58, 57, 60, 63, 62, 61, 56, 51, 34, 68, 71, 70, 69, 64, 75, 74, 73, 76
(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.
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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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EXAMPLE
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........0
........1
.......10
.......11
......100 <- Starting here, the downward diagonals
......101 read 100, 111, 110, 101, giving the block 4, 7, 6, 5.
......110
......111
.....1000
.....1001
.....1010
.....1011
.........
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MAPLE
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a:=proc(i, j) if j=1 and i<=16 then 0 else convert(i+15, base, 2)[7-j] fi end: seq(a(i, 2)*2^4+a(i+1, 3)*2^3+a(i+2, 4)*2^2+a(i+3, 5)*2+a(i+4, 6), i=1..16); # this is a Maple program (not necessarily the simplest) only for one block of (2^4) numbers (Deutsch)
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CROSSREFS
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Cf. A102370, A105026.
Sequence in context: A134571 A054086 A163329 this_sequence A129594 A158441 A102787
Adjacent sequences: A105022 A105023 A105024 this_sequence A105026 A105027 A105028
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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 Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 16 2005
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