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

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

R. H. Hardin, Table of n, a(n) for n = 1..1010

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

Adjacent sequences: A203725 A203726 A203727 * A203729 A203730 A203731

Keyword

nonn,tabl

Author

R. H. Hardin Jan 05 2012

Status

approved