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%I #5 Mar 31 2012 12:36:57
%S 728,10530,10530,111648,317138,111648,1049566,6780455,6780455,1049566,
%T 8749285,108864887,258487684,108864887,8749285,67221763,1447373824,
%U 7178236454,7178236454,1447373824,67221763,482381877,16256618529
%N T(n,k)=Number of (n+1)X(k+1) 0..6 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 Table starts
%C ........728.........10530..........111648...........1049566.............8749285
%C ......10530........317138.........6780455.........108864887..........1447373824
%C .....111648.......6780455.......258487684........7178236454........150678768765
%C ....1049566.....108864887......7178236454......314604157273......10106160753534
%C ....8749285....1447373824....150678768765....10106160753534.....469214921553966
%C ...67221763...16256618529...2567705516301...248951034536521...16249513382398064
%C ..482381877..160492711072..36453931556452..4957510935448467..438625288948634323
%C .3278417620.1415401335585.446170354019486.82056214302673100.9625199918804866359
%H R. H. Hardin, <a href="/A203672/b203672.txt">Table of n, a(n) for n = 1..84</a>
%e Some solutions for n=4 k=3
%e ..5..0..2..5....3..1..1..5....3..0..2..3....1..0..0..5....2..5..1..1
%e ..0..5..5..4....1..4..4..2....3..6..4..4....2..5..5..4....5..2..6..6
%e ..1..5..5..6....2..4..4..6....5..4..6..6....2..5..5..6....1..6..6..6
%e ..3..4..6..5....6..4..5..5....3..6..6..6....1..6..6..6....4..6..6..6
%e ..6..5..5..6....4..6..5..5....5..6..6..6....3..6..6..6....6..6..6..6
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Jan 04 2012
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