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Number of (4+1)X(n+1) 0..2 arrays x(i,j) with row sums sum{x(i,j), j=1..n+1} nondecreasing, and column sums sum{i*x(i,j), i=1..4+1} nondecreasing
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%I #3 Dec 04 2013 07:55:22

%S 1636,110078,6419678,326851781,14834218690,610630273520,

%T 23120077836128,814295555596585

%N Number of (4+1)X(n+1) 0..2 arrays x(i,j) with row sums sum{x(i,j), j=1..n+1} nondecreasing, and column sums sum{i*x(i,j), i=1..4+1} nondecreasing

%C Row 4 of A233117

%e Some solutions for n=2

%e ..0..1..1....1..1..0....0..0..0....1..1..1....0..0..2....1..1..1....0..0..2

%e ..0..1..1....0..1..1....2..0..1....1..0..2....0..2..1....1..0..2....1..0..2

%e ..0..2..0....1..0..1....1..1..2....1..2..1....0..2..1....2..0..1....2..0..2

%e ..2..0..1....2..1..1....1..2..1....1..1..2....0..2..1....0..2..2....0..2..2

%e ..1..1..2....1..2..2....2..2..2....2..2..1....1..0..2....2..2..1....2..2..0

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 04 2013