%I #12 Mar 17 2023 01:27:59
%S 0,0,0,0,1,2,3,6,6,12,15,30,30,60,60,84,105,210,210,420,420,420,420,
%T 840,840,1260,1260,2310,1540,4620,2520,5460,4620,9240,5460,13860,9240,
%U 16380,15015,27720,13860,32760,19635,40040,45045,51480,32760,72072,58905
%N Largest order of a permutation of n elements with exactly 5 cycles. Also the largest LCM of a 5-partition of n.
%C a(n) is asymptotic to n^5/3125.
%H <a href="/index/Lc#lcm">Index entries for sequences related to lcm's</a>
%e a(29)=1540 because 29 = 11+7+5+4+2 and lcm(2,4,5,7,11) = 1540 is maximal.
%t Max[LCM @@@ Compositions[ #, 5]] & /@ Range[1, n]
%Y Cf. A000793, A129651.
%Y 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).
%K nonn
%O 1,6
%A Nickolas Reynolds (nickels(AT)gmail.com), Apr 25 2007