id:A129647 - OEIS Search Results

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Largest order of a permutation of n elements with exactly 2 cycles. Also the largest LCM of a 2-partition of n.

+0
5

0, 1, 2, 3, 6, 5, 12, 15, 20, 21, 30, 35, 42, 45, 56, 63, 72, 77, 90, 99, 110, 117, 132, 143, 156, 165, 182, 195, 210, 221, 240, 255, 272, 285, 306, 323, 342, 357, 380, 399, 420, 437, 462, 483, 506, 525, 552, 575, 600, 621, 650, 675, 702, 725, 756, 783, 812, 837 (list; graph; listen)

	OFFSET	`1,3`
	COMMENT	`a(n) is asymptotic to (n^2)/4`
	EXAMPLE	`a(26)=165 because 26=11+15 and LCM(11,15)=165 is maximal.`
	MATHEMATICA	`Max[LCM @@@ Compositions[ #, 2]]& /@ Range[1, n]`
	CROSSREFS	`Cf. A000793, A129648, A129649, A129650, A129651.` `Sequence in context: A095113 A002517 A053570 this_sequence A136183 A100211 A071257` `Adjacent sequences: A129644 A129645 A129646 this_sequence A129648 A129649 A129650`
	KEYWORD	`nonn`
	AUTHOR	`Nickolas Reynolds (nickels(AT)gmail.com), Apr 25 2007`

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.

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