3,1

Clearly this is a number k that has n^2 distinct factors multiplying to give k^n. For all the values checked so far, it is the smallest such number.

Table of n, a(n) for n=3..9.

Christian Boyer, The smallest possible multiplicative magic squares .

Examples of a 3 X 3 multiplicative bimagic square with constant 120 are

01 12 10

15 02 04

08 05 03

--------

01 20 06

12 02 05

10 03 04

08 03 05

Sequence in context: A179060 A055360 A001807 * A283344 A223754 A174686

Adjacent sequences: A111152 A111153 A111154 * A111156 A111157 A111158

nonn

Luke Pebody (ltp1000(AT)cam.ac.uk), Oct 20 2005

More terms from David W. Wilson, Feb 02 2006

approved