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URL: https://oeis.org/A355367

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A355367
Maximal LCM of six positive integers with sum n.
6
1, 2, 3, 6, 6, 12, 15, 30, 30, 60, 60, 84, 105, 210, 210, 420, 420, 420, 420, 840, 840, 1260, 1260, 2310, 2310, 4620, 4620, 5460, 5460, 9240, 9240, 13860, 13860, 16380, 16380, 30030, 27720, 60060, 32760, 40040, 60060, 120120, 60060, 180180, 120120, 157080, 120120, 360360
OFFSET
6,2
MATHEMATICA
Table[Max[LCM@@@IntegerPartitions[n, {6}]], {n, 6, 60}] (* Harvey P. Dale, Jun 23 2023 *)
PROG
(PARI) a(n) = { my (v=0); forpart(p=n, v=max(v, lcm(Vec(p))), , [6, 6]); v } \\ Rémy Sigrist, Jul 01 2022
CROSSREFS
Cf. A008881.
Maximal LCM of k positive integers with sum n for k = 2..7: A129647 (k=2), A129648 (k=3), A129649 (k=4), A129650 (k=5), this sequence (k=6), A355403 (k=7).
Sequence in context: A129648 A129649 A129650 * A355403 A319055 A379153
KEYWORD
nonn
AUTHOR
Wesley Ivan Hurt, Jun 29 2022
STATUS
approved