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Smallest constant of a multiplicative bimagic square of order n.
0

%I #5 Mar 30 2012 18:35:42

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

%N Smallest constant of a multiplicative bimagic square of order n.

%C 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.

%H Christian Boyer, <a href="http://www.multimagie.com/English/Multiplicative.htm">The smallest possible multiplicative magic squares </a>.

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

%e 01 12 10

%e 15 02 04

%e 08 05 03

%e --------

%e 01 20 06

%e 12 02 05

%e 10 03 04

%e --------

%e 01 20 06

%e 08 03 05

%e 15 02 04

%K nonn

%O 3,1

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

%E More terms from _David W. Wilson_, Feb 02 2006