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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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified May 22 00:02 EDT 2022. Contains 353931 sequences. (Running on oeis4.)