A203661 T(n,k)=Number of (n+1)X(k+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) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing

1212, 27966, 27966, 557544, 4859580, 557544, 9592248, 729677481, 729677481, 9592248, 146861704, 85151157995, 949250483640, 85151157995, 146861704, 2050339423, 8115230716866, 931767180207600, 931767180207600, 8115230716866

Offset

1,1

Comments

Table starts

.........1212.............27966................557544.................9592248

........27966...........4859580.............729677481.............85151157995

.......557544.........729677481..........949250483640.........931767180207600

......9592248.......85151157995.......931767180207600.....7676075878291358313

....146861704.....8115230716866....726872783930414289.49640621147968317363235

...2050339423...656137171037648.471365844803377449537

..26569429480.46216860954254233

.323824032048

Links

R. H. Hardin, Table of n, a(n) for n = 1..39

Example

Some solutions for n=5 k=3
..5..2..7..3....0..0..3..0....3..0..5..3....4..4..7..2....3..6..2..5
..0..7..3..7....2..4..4..7....0..6..4..6....4..5..2..7....6..3..7..4
..1..7..7..3....4..3..7..4....1..5..5..5....5..4..7..3....2..7..4..7
..7..2..0..7....4..4..0..5....3..3..7..6....2..7..4..6....2..7..4..7
..3..6..4..4....5..4..1..7....6..2..6..5....7..3..6..2....2..7..4..7
..2..7..3..5....2..7..3..0....5..5..2..2....4..6..3..5....2..7..4..7

Crossrefs

Sequence in context: A047626 A204339 A204332 * A203657 A250159 A184464

Adjacent sequences: A203658 A203659 A203660 * A203662 A203663 A203664

Keyword

nonn,tabl

Author

R. H. Hardin Jan 04 2012

Status

approved