A355757 Smallest n-layered number.

1, 6, 120, 27720, 147026880, 130429015516800, 1970992304700453905270400, 1897544233056092162003806758651798777216000

Offset

1,2

Comments

An integer k is said to be n-layered if the set of all positive divisors of k can be partitioned into n subsets with the same sum.

Links

Table of n, a(n) for n=1..8.

Farid Jokar, On k-layered numbers, arXiv:2207.09053 [math.NT], 2022.

Crossrefs

Cf. k-layered numbers: A083207 (k=2), A204830 (k=3), A204831 (k=4).

Sequence in context: A012475 A053777 A023199 * A007539 A040996 A110442

Adjacent sequences: A355754 A355755 A355756 * A355758 A355759 A355760

Keyword

nonn,hard,more

Author

Michel Marcus, Jul 20 2022

Status

approved