A203741 T(n,k)=Number of (n+1)X(k+1) 0..3 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

90, 499, 499, 2166, 3912, 2166, 8667, 23442, 23442, 8667, 31942, 114276, 178836, 114276, 31942, 111916, 488745, 1091807, 1091807, 488745, 111916, 376415, 1868452, 5538127, 7927078, 5538127, 1868452, 376415, 1228141, 6571172, 24571387

Offset

1,1

Comments

Table starts

......90......499......2166.......8667.......31942.......111916........376415

.....499.....3912.....23442.....114276......488745......1868452.......6571172

....2166....23442....178836....1091807.....5538127.....24571387......97540896

....8667...114276...1091807....7927078....47229554....240425612....1082255416

...31942...488745...5538127...47229554...325435792...1908258519....9804436984

..111916..1868452..24571387..240425612..1908258519..12852015708...75830205850

..376415..6571172..97540896.1082255416..9804436984..75830205850..513715285322

.1228141.21530128.354255616.4391206320.45182796559.399483991424.3103520015542

Links

R. H. Hardin, Table of n, a(n) for n = 1..312

Example

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

Crossrefs

Sequence in context: A237129 A250870 A284845 * A203734 A066116 A233638

Adjacent sequences: A203738 A203739 A203740 * A203742 A203743 A203744

Keyword

nonn,tabl

Author

R. H. Hardin Jan 05 2012

Status

approved