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A129650
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Largest order of a permutation of n elements with exactly 5 cycles. Also the largest LCM of a 5-partition of n.
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4
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0, 0, 0, 0, 1, 2, 3, 6, 6, 12, 15, 30, 30, 60, 60, 84, 105, 210, 210, 420, 420, 420, 420, 840, 840, 1260, 1260, 2310, 1540, 4620, 2520, 5460, 4620, 9240, 5460, 13860, 9240, 16380, 15015, 27720, 13860, 32760, 19635, 40040, 45045, 51480, 32760, 72072, 58905
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OFFSET
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1,6
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COMMENTS
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A(n) is asymptotic to (n^5)/3125
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LINKS
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Table of n, a(n) for n=1..49.
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EXAMPLE
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a(29)=1540 because 29=11+7+5+4+2 and LCM(2,4,5,7,11)=1540 is maximal.
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MATHEMATICA
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Max[LCM @@@ Compositions[ #, 5]] & /@ Range[1, n]
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CROSSREFS
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Cf. A000793, A129647, A129648, A129649, A129651.
Sequence in context: A143177 A129648 A129649 * A007894 A102625 A117777
Adjacent sequences: A129647 A129648 A129649 * A129651 A129652 A129653
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KEYWORD
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nonn
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AUTHOR
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Nickolas Reynolds (nickels(AT)gmail.com), Apr 25 2007
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STATUS
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approved
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