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Number of (n+1)X(2+1) 0..2 arrays x(i,j) with row sums sum{j*x(i,j), j=1..2+1} nondecreasing, and column sums sum{i*x(i,j), i=1..n+1} nondecreasing
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%I #3 Nov 30 2013 06:30:25

%S 118,1176,9607,71172,474271,2888324,16411386,87759236,445218879,

%T 2163198554,10117422745,45757881000,201068414833,861138559305,

%U 3604319480707,14783116721340,59536205151486

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

%C Column 2 of A232778

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 30 2013