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

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

R. H. Hardin, Table of n, a(n) for n = 1..40

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

Adjacent sequences: A203910 A203911 A203912 * A203914 A203915 A203916

Keyword

nonn,tabl

Author

R. H. Hardin Jan 07 2012

Status

approved