A111155 Smallest constant of a multiplicative bimagic square of order n.

120, 4320, 277200, 25945920, 3632428800, 670442572800, 140792940288000

Offset: 3

Author

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

Keywords

• nonn

Comments

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.

Examples

			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
--------
01 20 06
08 03 05
15 02 04
		

Links

• Christian Boyer, The smallest possible multiplicative magic squares .

Extensions

More terms from David W. Wilson, Feb 02 2006