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 A129650 Largest order of a permutation of n elements with exactly 5 cycles. Also the largest LCM of a 5-partition of n. 4
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,6 COMMENTS A(n) is asymptotic to (n^5)/3125 LINKS EXAMPLE a(29)=1540 because 29=11+7+5+4+2 and LCM(2,4,5,7,11)=1540 is maximal. MATHEMATICA Max[LCM @@@ Compositions[ #, 5]] & /@ Range[1, n] CROSSREFS Cf. A000793, A129647, A129648, A129649, A129651. Sequence in context: A143177 A129648 A129649 * A007894 A102625 A117777 Adjacent sequences:  A129647 A129648 A129649 * A129651 A129652 A129653 KEYWORD nonn AUTHOR Nickolas Reynolds (nickels(AT)gmail.com), Apr 25 2007 STATUS approved

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