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Number of (n+2)X(7+2) 0..1 arrays x(i,j) with every row sum{j*x(i,j), j=1..7+2} equal, and every column sum{i*x(i,j), i=1..n+2} equal, with upper left element zero
0

%I #3 Nov 27 2013 10:28:26

%S 1,1,55,55,1,571,27453,70897,66043,304485

%N Number of (n+2)X(7+2) 0..1 arrays x(i,j) with every row sum{j*x(i,j), j=1..7+2} equal, and every column sum{i*x(i,j), i=1..n+2} equal, with upper left element zero

%C Column 7 of A232654

%e Some solutions for n=4

%e ..0..1..0..1..0..0..1..1..1....0..0..1..1..0..0..0..1..0

%e ..1..1..1..1..1..1..0..0..1....0..1..0..0..0..1..1..0..0

%e ..1..0..1..0..1..1..1..1..0....1..0..0..0..1..0..0..0..1

%e ..1..0..1..0..1..1..1..1..0....1..0..0..0..1..0..0..0..1

%e ..1..1..1..1..1..1..0..0..1....0..1..0..0..0..1..1..0..0

%e ..0..1..0..1..0..0..1..1..1....0..0..1..1..0..0..0..1..0

%K nonn

%O 1,3

%A _R. H. Hardin_, Nov 27 2013