A238026 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with the (lower) medians of each row unequal to its neighbors and each column equal to its neighbors.

20, 74, 146, 212, 310, 260, 828, 12722, 4730, 1820, 2312, 32502, 38612, 10362, 3752, 9178, 1147442, 793252, 2176212, 325418, 24818, 25652, 3283862, 5924312, 11523584, 8433752, 677750, 56612, 102356, 104956562, 126809722, 2708828768, 896174928

Offset

1,1

Comments

Table starts

......20.........74..........212...........828...........2312............9178

.....146........310........12722.........32502........1147442.........3283862

.....260.......4730........38612........793252........5924312.......126809722

....1820......10362......2176212......11523584.....2708828768.....16591451786

....3752.....325418......8433752.....896174928....19549318112...2245175385658

...24818.....677750....428504162....6030131286..7737722889458.111990180682454

...56612...21958106...1974653492.1025754609412.70847540686232

..355364...53790778..90867483692.4990295869136

..872600.1439629634.477384762152

.5238356.4161478414

Links

R. H. Hardin, Table of n, a(n) for n = 1..72

Example

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

Crossrefs

Sequence in context: A139232 A002292 A225923 * A010008 A237617 A000529

Adjacent sequences: A238023 A238024 A238025 * A238027 A238028 A238029

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 17 2014

Status

approved