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A111155 Smallest constant of a multiplicative bimagic square of order n. 0
120, 4320, 277200, 25945920, 3632428800, 670442572800, 140792940288000 (list; graph; refs; listen; history; internal format)
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

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: A179060 A055360 A001807 * A174686 A140907 A072419

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 (davidwwilson(AT)comcast.net), Feb 02 2006

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Last modified February 17 10:05 EST 2012. Contains 206009 sequences.