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Number of (n+1)X5 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) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing
1

%I #5 Mar 31 2012 12:36:58

%S 18332,2903185,855879499,215433191774,43960759831841,7419043577516162,

%T 1066959581935799954,133822712331030881445,14899983490455155463783,

%U 1492959577360021372301072,136087516551689502446979902

%N Number of (n+1)X5 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) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing

%C Column 4 of A203787

%H R. H. Hardin, <a href="/A203783/b203783.txt">Table of n, a(n) for n = 1..177</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 05 2012