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A203913
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) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing
5
728, 13006, 13006, 203994, 1464079, 203994, 2788842, 147040347, 147040347, 2788842, 34183816, 11575205434, 111118765078, 11575205434, 34183816, 384541867, 746879546466, 63988637491851, 63988637491851, 746879546466
OFFSET
1,1
COMMENTS
Table starts
.........728............13006...............203994...............2788842
.......13006..........1464079............147040347...........11575205434
......203994........147040347.........111118765078........63988637491851
.....2788842......11575205434.......63988637491851....270356138202215532
....34183816.....746879546466....29334499587197078.898462061528909496153
...384541867...40994270815269.11182918411649538015
..4038515481.1965119386833492
.40101448387
LINKS
EXAMPLE
Some solutions for n=4 k=3
..0..5..4..0....6..3..4..5....2..3..6..5....5..0..6..4....1..1..2..2
..5..1..2..6....3..6..5..4....5..4..4..5....0..5..2..4....3..3..6..6
..4..4..5..6....6..4..5..6....5..6..5..4....6..1..0..3....2..4..6..6
..5..3..6..5....4..6..6..5....6..6..4..5....1..6..3..5....6..1..4..4
..2..6..4..3....5..6..4..5....6..6..6..6....4..6..2..0....1..6..3..3
CROSSREFS
Sequence in context: A233962 A203672 A203665 * A203909 A085479 A203664
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jan 07 2012
STATUS
approved