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A054582
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Table T(m,k) = 2^m * (2k+1) with m,k >= 0.
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13
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1, 2, 3, 4, 6, 5, 8, 12, 10, 7, 16, 24, 20, 14, 9, 32, 48, 40, 28, 18, 11, 64, 96, 80, 56, 36, 22, 13, 128, 192, 160, 112, 72, 44, 26, 15, 256, 384, 320, 224, 144, 88, 52, 30, 17, 512, 768, 640, 448, 288, 176, 104, 60, 34, 19, 1024, 1536, 1280, 896, 576, 352, 208, 120
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| An analogous N X N <-> N bijection based, not on the binary, but on the Fibonacci number system, is given by the Wythoff array A035513.
As an array, A054582 (hence also A135764) is the dispersion of the even positive integers. For the definition of dispersion, see the link "Interspersions and Dispersions." The fractal sequence of this dispersion is A003602.
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LINKS
| Index entries for sequences that are permutations of the natural numbers
Interspersions and Dispersions.
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FORMULA
| As a sequence: if n is a triangular number then a(n)=a(n-A002024(n))+2, otherwise a(n)=2*a(n-A002024(n)-1). a(n) = A075300(n-1)+1.
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EXAMPLE
| Northwest corner:
1....2....4....8....16...
3....6...12...24....48...
5...10...20...40....80...
7...14...28...56...112...
9...18...36...72...144...
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CROSSREFS
| First row of table is powers of 2, first column is odd numbers, other cells are products of these two, so every positive integer appears exactly once.
Central column is A014480. Cf. A025480, A075300, A135764, A003602.
Sequence in context: A058213 A080997 A151942 * A099884 A191446 A118315
Adjacent sequences: A054579 A054580 A054581 * A054583 A054584 A054585
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KEYWORD
| easy,nice,nonn,tabl
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Apr 12 2000
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EXTENSIONS
| Comment added by Clark Kimberling (ck6(AT)evansville.edu), Dec 03 2010
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