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Number of (n+1)X3 0..7 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 12:36:57

%S 27966,4859580,729677481,85151157995,8115230716866,656137171037648,

%T 46216860954254233,2891295237770491561,163019734007831844856,

%U 8380298695440493585058,396465950291520018891482

%N Number of (n+1)X3 0..7 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 2 of A203661

%H R. H. Hardin, <a href="/A203658/b203658.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

%e ..2..5..1....1..7..6....1..7..6....5..7..5....0..6..4....2..1..1....7..7..7

%e ..4..3..7....3..6..7....4..5..6....7..5..7....1..5..7....2..5..5....7..7..7

%e ..1..6..4....2..7..6....6..4..3....5..7..7....6..2..5....2..5..5....7..7..7

%e ..6..2..2....3..6..7....4..6..7....5..7..7....2..6..5....0..7..7....7..7..7

%e ..7..2..2....2..7..7....3..7..6....6..7..0....7..2..0....1..7..7....7..7..7

%e ..7..2..2....5..7..2....4..6..7....6..7..6....7..7..0....6..7..7....7..7..7

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 04 2012

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