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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.
7
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
OFFSET
1,6
COMMENTS
a(n) is asymptotic to n^5/3125.
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
Maximal LCM of k positive integers with sum n for k = 2..7: A129647 (k=2), A129648 (k=3), A129649 (k=4), this sequence (k=5), A355367 (k=6), A355403 (k=7).
Sequence in context: A143177 A129648 A129649 * A355367 A355403 A319055
KEYWORD
nonn
AUTHOR
Nickolas Reynolds (nickels(AT)gmail.com), Apr 25 2007
STATUS
approved