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Number of (n+1)X(n+1) 0..3 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively
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%I #7 Mar 31 2012 12:36:58

%S 90,3912,178836,7927078,325435792,12852015708,513715285322,

%T 21463727483530,946913403808620,43905367195100872,2117084835230553844,

%U 105066513574419532846

%N Number of (n+1)X(n+1) 0..3 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively

%C Diagonal of A203741

%e Some solutions for n=4

%e ..3..0..0..1..1....2..1..0..1..2....0..1..0..3..1....0..3..1..1..3

%e ..0..3..3..3..3....1..2..3..3..3....2..1..2..1..3....2..1..3..3..3

%e ..1..3..3..3..3....2..2..3..3..3....0..3..2..3..2....0..3..3..3..3

%e ..2..3..3..3..3....3..3..3..3..3....1..2..3..2..3....1..3..3..3..3

%e ..2..3..3..3..3....3..3..3..3..3....3..3..2..3..2....3..3..3..3..3

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 05 2012