Thanks Hans, Erich Friedman confirms (in a private mail -- his posts are rejected by MFun) your 44. The sequence of nxn MAX is perhaps somewhere here: http://oeis.org/search?q=1%2C4%2C44&language=english&go=Search Best, É. Propulsé d'un aPhone Le 14 avr. 2013 à 20:02, "Hans Havermann" <gladhobo@teksavvy.com> a écrit :
Eric Angelini wrote:
My best MAX is 40: is it the highest possible MAX in a 3x3 square?
I believe the highest MAX is 44. If we label the 9 squares 1-9:
+-----+-----+-----+ | 1 | 2 | 3 | | | | | +-----+-----+-----+ | 4 | 5 | 6 | | | | | +-----+-----+-----+ | 7 | 8 | 9 | | | | | +-----+-----+-----+
then I get 44 by doing the squares in the order:
{2, 4, 7, 5, 3, 6, 8, 9} {2, 4, 7, 5, 3, 6, 9, 8}
or their symmetrical counterparts
{4, 2, 3, 5, 7, 8, 6, 9} {4, 2, 3, 5, 7, 8, 9, 6}
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