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Search: id:A054582
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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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4
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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; listen)
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OFFSET
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1,2
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COMMENT
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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.
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LINKS
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Index entries for sequences that are permutations of the natural numbers
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FORMULA
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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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CROSSREFS
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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.
Sequence in context: A032447 A058213 A080997 this_sequence A099884 A118315 A075159
Adjacent sequences: A054579 A054580 A054581 this_sequence A054583 A054584 A054585
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KEYWORD
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easy,nice,nonn,tabl
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Apr 12 2000
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