A354457 a(n) is the least integer for which there exist two disjoint sets of n positive integers each, all distinct, for which the product of the integers in either set is a(n).

6, 36, 240, 2520, 30240, 443520, 6652800

Offset

2,1

Comments

This is also the least integer that can be represented as the product of the integers > 1 in two disjoint sets, one having n terms and the other having n-1 terms.

Links

Table of n, a(n) for n=2..8.

Example

From Jinyuan Wang, May 31 2022: (Start)
For n=2,       6 = 1*6                  = 2 * 3.
For n=3,      36 = 1*4*9                = 2 * 3 * 6.
For n=4,     240 = 1*3*8*10             = 2 * 4 * 5 * 6.
For n=5,    2520 = 1*2*9*10*14          = 3 * 4 * 5 * 6 * 7.
For n=6,   30240 = 1*2*6*10*14*18       = 3 * 4 * 5 * 7 * 8 * 9.
For n=7,  443520 = 1*2*5*9*14*16*22     = 3 * 4 * 6 * 7 * 8 *10 *11.
For n=8, 6652800 = 1*2*3*12*14*15*20*22 = 4 * 5 * 6 * 7 * 8 * 9 *10 *11.
(End)

Crossrefs

Cf. A001055, A025487, A354697.

Sequence in context: A001286 A180119 A181964 * A199422 A049431 A049428

Adjacent sequences: A354454 A354455 A354456 * A354458 A354459 A354460

Keyword

nonn,more

Author

Andy Niedermaier, May 30 2022

Extensions

a(7)-a(8) from Jinyuan Wang, May 31 2022

Status

approved