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Number of (n+1)X(2+1) 0..2 arrays x(i,j) with row sums sum{x(i,j), j=1..2+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing
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%I #3 Dec 08 2013 06:37:05

%S 98,1046,10496,100400,905636,7828287,65352179,530462028,4209012649,

%T 32785741523,251523868602

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

%C Column 2 of A233374

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 08 2013