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Number of 7X7 arrays of squares of integers, symmetric about the diagonal and under 90 degree rotation, with all rows summing to n.
0

%I #3 Mar 31 2012 12:35:23

%S 1,0,0,0,4,0,0,1,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,6,0,0,0,1,0,0,0,0,0,

%T 0,0,14,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,5,13,0,0,

%U 0,42,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,4,18,0,0,0,0,0,0,6,6,0,0,0

%N Number of 7X7 arrays of squares of integers, symmetric about the diagonal and under 90 degree rotation, with all rows summing to n.

%e All solutions for n=4

%e ...0.1.1.0.1.1.0...0.1.1.0.1.1.0...1.0.1.0.1.0.1...1.1.0.0.0.1.1

%e ...1.0.1.0.1.0.1...1.1.0.0.0.1.1...0.1.1.0.1.1.0...1.0.1.0.1.0.1

%e ...1.1.0.0.0.1.1...1.0.1.0.1.0.1...1.1.0.0.0.1.1...0.1.1.0.1.1.0

%e ...0.0.0.4.0.0.0...0.0.0.4.0.0.0...0.0.0.4.0.0.0...0.0.0.4.0.0.0

%e ...1.1.0.0.0.1.1...1.0.1.0.1.0.1...1.1.0.0.0.1.1...0.1.1.0.1.1.0

%e ...1.0.1.0.1.0.1...1.1.0.0.0.1.1...0.1.1.0.1.1.0...1.0.1.0.1.0.1

%e ...0.1.1.0.1.1.0...0.1.1.0.1.1.0...1.0.1.0.1.0.1...1.1.0.0.0.1.1

%K nonn

%O 0,5

%A _R. H. Hardin_ Feb 09 2009

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