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

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

Offset

3,1

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.

Links

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

Christian Boyer, The smallest possible multiplicative magic squares .

Example

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

Crossrefs

Sequence in context: A342073 A055360 A001807 * A283344 A223754 A174686

Adjacent sequences: A111152 A111153 A111154 * A111156 A111157 A111158

Keyword

nonn

Author

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

Extensions

More terms from David W. Wilson, Feb 02 2006

Status

approved