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Number of (n+1)X(3+1) 0..1 arrays x(i,j) with row sums sum{j*x(i,j), j=1..3+1} nondecreasing, and column sums sum{i*x(i,j), i=1..n+1} nondecreasing
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%I #3 Nov 30 2013 17:35:30

%S 23,128,578,2329,8898,32279,111609,367415,1156446,3507097,10298283,

%T 29408921,81999117,223720287,598317070,1572579642,4069639443,

%U 10383180004,26154898488,65117553622

%N Number of (n+1)X(3+1) 0..1 arrays x(i,j) with row sums sum{j*x(i,j), j=1..3+1} nondecreasing, and column sums sum{i*x(i,j), i=1..n+1} nondecreasing

%C Column 3 of A232831

%e Some solutions for n=5

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 30 2013