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 A129649 Largest order of a permutation of n elements with exactly 4 cycles. Also the largest LCM of a 4-partition of n. 4
 0, 0, 0, 1, 2, 3, 6, 6, 12, 15, 30, 30, 60, 60, 84, 105, 210, 140, 420, 210, 330, 420, 840, 420, 1260, 1155, 1540, 1365, 2520, 1320, 3080, 3465, 3960, 4095, 5544, 5005, 6930, 6435, 8190, 9009, 10296, 8415, 12870, 11781, 13464, 15015, 18018, 17017, 20592 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS a(n) is asymptotic to (n^4)/256 LINKS EXAMPLE a(18)=140 because 18=7+5+2+2 and LCM(2,2,5,7)=140 is maximal. MATHEMATICA Max[LCM @@@ Compositions[ #, 4]] & /@ Range[1, n] (* needs Combinatorica *) Join[{0, 0, 0}, Table[Max[LCM@@#&/@IntegerPartitions[n, {4}]], {n, 4, 50}]] (* From Harvey P. Dale, Feb 25 2012 *) CROSSREFS Cf. A000793, A129647, A129648, A129650, A129651. Sequence in context: A131259 A143177 A129648 * A129650 A007894 A102625 Adjacent sequences:  A129646 A129647 A129648 * A129650 A129651 A129652 KEYWORD nonn AUTHOR Nickolas Reynolds (nickels(AT)gmail.com), Apr 25 2007 STATUS approved

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