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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified June 5 01:27 EDT 2020. Contains 334828 sequences. (Running on oeis4.)