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A204039 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the sums of 2X2 subblocks nondecreasing rightwards and downwards 9
16, 44, 44, 121, 164, 121, 286, 603, 603, 286, 676, 1758, 2928, 1758, 676, 1482, 5130, 10505, 10505, 5130, 1482, 3249, 13040, 37642, 44366, 37642, 13040, 3249, 6840, 33223, 111578, 189580, 189580, 111578, 33223, 6840, 14400, 77574, 330509, 642272 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...16....44....121.....286......676......1482.......3249.......6840.......14400

...44...164....603....1758.....5130.....13040......33223......77574......181559

..121...603...2928...10505....37642....111578.....330509.....863435.....2254026

..286..1758..10505...44366...189580....642272....2198077....6415866....18855400

..676..5130..37642..189580...969528...3811097...15164049...50226272...167435933

.1482.13040.111578..642272..3811097..16895850...76619720..282617310..1055589853

.3249.33223.330509.2198077.15164049..76619720..397550036.1650280817..6940548943

.6840.77574.863435.6415866.50226272.282617310.1650280817.7576693894.35441648714

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..364

EXAMPLE

Some solutions for n=4 k=3

..1..0..1..1....1..0..0..1....0..1..0..1....0..1..1..0....1..0..0..0

..0..1..1..0....0..0..1..0....1..0..1..0....1..0..0..1....0..1..1..1

..1..0..1..1....1..1..0..1....0..1..1..1....0..1..1..1....1..0..1..1

..0..1..1..1....0..1..1..1....1..0..1..1....0..1..1..1....1..1..1..1

..0..1..1..1....1..1..0..1....0..1..1..1....0..1..1..1....1..1..1..1

CROSSREFS

Sequence in context: A253397 A258554 A253326 * A235413 A238255 A210375

Adjacent sequences:  A204036 A204037 A204038 * A204040 A204041 A204042

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 09 2012

STATUS

approved

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Last modified January 21 10:25 EST 2022. Contains 350477 sequences. (Running on oeis4.)