A197109 T(n,k)=Half the number of nXk 0..3 arrays with no element equal to the average of its horizontal and vertical neighbors

2, 6, 6, 16, 78, 16, 61, 1015, 1015, 61, 212, 13526, 50831, 13526, 212, 753, 181032, 2548972, 2548972, 181032, 753, 2661, 2421376, 127561432, 478107878, 127561432, 2421376, 2661, 9415, 32393085, 6385146382, 89735942231, 89735942231

Offset

1,1

Comments

Table starts

......2...........6..............16.................61..................212

......6..........78............1015..............13526...............181032

.....16........1015...........50831............2548972............127561432

.....61.......13526.........2548972..........478107878..........89735942231

....212......181032.......127561432........89735942231.......63216096026066

....753.....2421376......6385146382.....16851142959473....44545247280268585

...2661....32393085....319626874708...3164557733113615.31390101087203449414

...9415...433365018..15999836095846.594285270687803282

..33302..5797636941.800916441358294

.117802.77561969587

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Example

Some solutions for 6X6
..1..0..0..0....1..0..0..0....1..0..0..0....1..0..0..0....1..0..0..0
..0..0..2..1....0..0..2..1....0..0..2..1....0..0..2..1....0..0..2..1
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..2..3..0..0....2..1..0..0....2..1..0..0....2..2..0..0....2..1..0..0
..2..2..1..1....3..0..2..3....0..3..0..3....3..0..3..3....0..0..1..3
..1..3..3..1....0..2..2..1....1..1..0..1....2..0..0..1....3..3..2..3

Crossrefs

Sequence in context: A194120 A161503 A019076 * A111410 A240087 A083774

Adjacent sequences: A197106 A197107 A197108 * A197110 A197111 A197112

Keyword

nonn,tabl

Author

R. H. Hardin Oct 10 2011

Status

approved