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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

Table of n, a(n) for n=1..49.

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 * A319055 A339546 A007894

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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Last modified September 18 00:01 EDT 2021. Contains 347489 sequences. (Running on oeis4.)