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Search: id:A093056
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| A093056 |
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Triangle T(j,k) read by rows, where T(j,k) = length of the longest cycle in the in-situ transposition of a rectangular j X k matrix. |
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+0
3
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| 2, 4, 2, 3, 5, 2, 6, 6, 9, 2, 10, 16, 11, 14, 2, 12, 4, 9, 16, 40, 2, 4, 11, 5, 4, 23, 20, 2, 8, 3, 6, 5, 26, 15, 35, 2, 18, 28, 6, 42, 58, 22, 13, 44, 2, 6, 8, 7, 18, 12, 6, 28, 21, 108, 2, 11, 12, 23, 29, 35, 41, 12, 53, 48, 65, 2, 20, 18, 4, 16, 10, 12, 17, 14, 21, 70, 60, 2, 18, 8, 10
(list; table; graph; listen)
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OFFSET
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1,1
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COMMENT
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See A093055 for details of storage, another example, references and links.
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EXAMPLE
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a(7)=T(2,5)=6 because the transposition of a 2 X 5 matrix into a 5 X 2 matrix
(1 2 3 4 5)(6 7 8 9 10) -> (1 6)(2 7)(3 8)(4 9)(5 10) consists of 2 cycles, the longer 2->3->5->9->8->6(->2) having length=6.
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CROSSREFS
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Cf. A093055 number of non-singleton cycles, A093057 number of singleton cycles.
Sequence in context: A054240 A082864 A134447 this_sequence A151849 A141387 A134400
Adjacent sequences: A093053 A093054 A093055 this_sequence A093057 A093058 A093059
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KEYWORD
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nonn,tabl
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AUTHOR
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Hugo Pfoertner (hugo(AT)pfoertner.org), Mar 22 2004
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