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A203728
T(n,k)=Number of (n+1)X(k+1) 0..2 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
32, 113, 113, 326, 480, 326, 888, 1632, 1632, 888, 2278, 4737, 6249, 4737, 2278, 5653, 12470, 20290, 20290, 12470, 5653, 13665, 30335, 58048, 72777, 58048, 30335, 13665, 32440, 69612, 151649, 230014, 230014, 151649, 69612, 32440, 75965, 152260, 367595
OFFSET
1,1
COMMENTS
Table starts
....32....113....326.....888.....2278.....5653.....13665......32440......75965
...113....480...1632....4737....12470....30335.....69612.....152260.....320546
...326...1632...6249...20290....58048...151649....367595.....839916....1825184
...888...4737..20290...72777...230014...656441...1728140....4246268....9847415
..2278..12470..58048..230014...808455..2572189...7508980...20395251...51998196
..5653..30335.151649..656441..2572189..9149941..29840078...90169885..254772252
.13665..69612.367595.1728140..7508980.29840078.108633030..365326803.1143413488
.32440.152260.839916.4246268.20395251.90169885.365326803.1362582726.4708923320
LINKS
EXAMPLE
Some solutions for n=4 k=3
..2..1..2..1....2..1..1..2....2..1..2..2....1..2..1..2....2..1..1..1
..1..2..1..2....1..2..2..2....1..2..2..2....2..1..2..1....1..2..2..2
..2..1..2..1....2..2..2..2....1..2..2..2....1..2..1..2....1..2..2..2
..1..2..1..2....2..2..2..2....1..2..2..2....2..1..2..1....2..2..2..2
..2..1..2..1....2..2..2..2....2..2..2..2....1..2..1..2....2..2..2..2
CROSSREFS
Sequence in context: A218068 A333582 A039464 * A044283 A044664 A221685
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jan 05 2012
STATUS
approved