A204331 - OEIS

%I #5 Mar 31 2012 12:37:01

%S 1212,947240,1641649698,4891607353910,20044731040262804

%N Number of (n+1)X(n+1) 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) nondecreasing in column and row directions, respectively

%C Diagonal of A204339

%e Some solutions for n=4

%e ..0..0..4..0..2....2..7..2..7..5....5..4..6..3..5....4..3..1..1..6

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

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

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

%e ..5..5..7..6..6....2..7..6..7..6....7..5..7..6..6....7..7..7..7..7

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 14 2012