A093056 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.

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

Offset: 1

Author

Hugo Pfoertner, Mar 22 2004

Keywords

• nonn
• tabl

Comments

See A093055 for details of storage, another example, references and links.

Examples

			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.
		

Crossrefs

Cf. A093055 number of non-singleton cycles, A093057 number of singleton cycles.