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Number of (n+1)X(6+1) 0..1 arrays x(i,j) with row sums sum{j^2*x(i,j), j=1..6+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing
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%I #3 Dec 01 2013 17:20:00

%S 81,1235,26553,706994,16272765,330663907,5853344894,94722968640

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

%C Column 6 of A232877

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 01 2013