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Number of (2+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..2+1} nondecreasing
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%I #4 Dec 04 2013 07:54:27

%S 123,1182,9514,67130,427059,2495541,13620058,70213894,344898281,

%T 1625999707,7398978182,32644783397,140193521403,587883227613,

%U 2413542952866,9723315619156,38513619901599,150236979229584

%N Number of (2+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..2+1} nondecreasing

%C Row 2 of A233117

%H R. H. Hardin, <a href="/A233119/b233119.txt">Table of n, a(n) for n = 1..62</a>

%e Some solutions for n=4

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 04 2013