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A203672
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
9
728, 10530, 10530, 111648, 317138, 111648, 1049566, 6780455, 6780455, 1049566, 8749285, 108864887, 258487684, 108864887, 8749285, 67221763, 1447373824, 7178236454, 7178236454, 1447373824, 67221763, 482381877, 16256618529
OFFSET
1,1
COMMENTS
Table starts
........728.........10530..........111648...........1049566.............8749285
......10530........317138.........6780455.........108864887..........1447373824
.....111648.......6780455.......258487684........7178236454........150678768765
....1049566.....108864887......7178236454......314604157273......10106160753534
....8749285....1447373824....150678768765....10106160753534.....469214921553966
...67221763...16256618529...2567705516301...248951034536521...16249513382398064
..482381877..160492711072..36453931556452..4957510935448467..438625288948634323
.3278417620.1415401335585.446170354019486.82056214302673100.9625199918804866359
LINKS
EXAMPLE
Some solutions for n=4 k=3
..5..0..2..5....3..1..1..5....3..0..2..3....1..0..0..5....2..5..1..1
..0..5..5..4....1..4..4..2....3..6..4..4....2..5..5..4....5..2..6..6
..1..5..5..6....2..4..4..6....5..4..6..6....2..5..5..6....1..6..6..6
..3..4..6..5....6..4..5..5....3..6..6..6....1..6..6..6....4..6..6..6
..6..5..5..6....4..6..5..5....5..6..6..6....3..6..6..6....6..6..6..6
CROSSREFS
Sequence in context: A051383 A293650 A233962 * A203665 A203913 A203909
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jan 04 2012
STATUS
approved