A204309 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the sums of 2X2 subblocks nondecreasing rightwards and downwards

256, 2400, 2400, 22500, 51680, 22500, 162000, 1077978, 1077978, 162000, 1166400, 15057392, 47834122, 15057392, 1166400, 7157160, 209106648, 1271789125, 1271789125, 209106648, 7157160, 43917129, 2204400210, 32895567670

Offset

1,1

Comments

Table starts

.......256.........2400...........22500...........162000...........1166400

......2400........51680.........1077978.........15057392.........209106648

.....22500......1077978........47834122.......1271789125.......32895567670

....162000.....15057392......1271789125......59151473070.....2692305415538

...1166400....209106648.....32895567670....2692305415538...211637634795580

...7157160...2204400210....592113170884...78592862286558.10058642503775705

..43917129..23201606946..10499120334579.2280158782254760

.242230104.200331995906.142632804549589

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Example

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

Crossrefs

Sequence in context: A205027 A207300 A205020 * A235416 A235261 A236087

Adjacent sequences: A204306 A204307 A204308 * A204310 A204311 A204312

Keyword

nonn,tabl

Author

R. H. Hardin Jan 14 2012

Status

approved