A250504 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with nondecreasing medians of every three consecutive values in every row and column

512, 2744, 2744, 13824, 23096, 13824, 68921, 181058, 181058, 68921, 314432, 1410255, 2191444, 1410255, 314432, 1367631, 9788132, 26447174, 26447174, 9788132, 1367631, 5832000, 64023155, 277462074, 495646476, 277462074, 64023155

Offset

1,1

Comments

Table starts

.......512........2744..........13824............68921.............314432

......2744.......23096.........181058..........1410255............9788132

.....13824......181058........2191444.........26447174..........277462074

.....68921.....1410255.......26447174........495646476.........7889877354

....314432.....9788132......277462074.......7889877354.......186246385700

...1367631....64023155.....2714800972.....116007921130......4025873039451

...5832000...409593826....25923074842....1660639294043.....84585014175864

..24137569..2524591167...236790657881...22580651735877...1677376060977244

..97336000.15066718470..2082074710650..293919481919578..31689420451649234

.385828352.88100873940.17883220315081.3726137451883967.581741448021499576

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Formula

Empirical for column k:

k=1: [linear recurrence of order 40]

Example

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

Crossrefs

Sequence in context: A258910 A253986 A250826 * A250820 A250497 A254260

Adjacent sequences: A250501 A250502 A250503 * A250505 A250506 A250507

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 24 2014

Status

approved