A355367 Maximal LCM of six positive integers with sum n.

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

Author

Wesley Ivan Hurt, Jun 29 2022

Keywords

• nonn

Links

• Index entries for sequences related to lcm's

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).

Programs

Mathematica

Table[Max[LCM@@@IntegerPartitions[n,{6}]],{n,6,60}] (* Harvey P. Dale, Jun 23 2023 *)

PARI

a(n) = { my (v=0); forpart(p=n, v=max(v, lcm(Vec(p))),, [6,6]); v } \\ Rémy Sigrist, Jul 01 2022