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Number of (6+1)X(n+1) 0..1 arrays x(i,j) with row sums sum{j*x(i,j), j=1..n+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..6+1} nondecreasing
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%I #3 Dec 08 2013 06:25:14

%S 81,1928,38240,781467,15009944,270547199,4578333280,72152875243

%N Number of (6+1)X(n+1) 0..1 arrays x(i,j) with row sums sum{j*x(i,j), j=1..n+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..6+1} nondecreasing

%C Row 6 of A233366

%e Some solutions for n=3

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 08 2013