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A197280 T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 2,0,1,1,1 for x=0,1,2,3,4 8
1, 3, 3, 4, 9, 4, 5, 14, 14, 5, 9, 29, 34, 29, 9, 16, 67, 92, 92, 67, 16, 25, 134, 317, 627, 317, 134, 25, 39, 275, 888, 2731, 2731, 888, 275, 39, 64, 583, 2626, 11850, 16890, 11850, 2626, 583, 64, 105, 1210, 8078, 57137, 114205, 114205, 57137, 8078, 1210, 105, 169 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Every 0 is next to 0 2's, every 1 is next to 1 0's, every 2 is next to 2 1's, every 3 is next to 3 1's, every 4 is next to 4 1's

Table starts

...1....3.....4.......5.........9..........16...........25.............39

...3....9....14......29........67.........134..........275............583

...4...14....34......92.......317.........888.........2626...........8078

...5...29....92.....627......2731.......11850........57137.........276689

...9...67...317....2731.....16890......114205.......886737........6017949

..16..134...888...11850....114205.....1276986.....13500114......135563958

..25..275..2626...57137....886737....13500114....209785488.....3332948197

..39..583..8078..276689...6017949...135563958...3332948197....84453386767

..64.1210.24103.1344992..40918349..1464662469..55701159000..2019696975436

.105.2511.72107.6445595.290053910.15975572837.888511016495.47417406612765

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

EXAMPLE

Some solutions containing all values 0 to 4 for n=6 k=4

..2..1..0..1....1..0..1..2....1..0..0..1....1..0..1..1....1..0..1..2

..1..4..1..1....1..1..4..1....3..1..3..1....3..1..1..0....1..1..4..1

..0..1..3..0....0..3..1..0....1..4..1..0....1..4..1..0....0..3..1..0

..0..3..1..0....0..1..1..0....0..1..3..0....0..1..3..1....0..1..3..1

..0..1..1..0....0..3..1..0....0..1..1..0....1..1..0..1....1..1..0..1

..1..2..2..1....0..1..1..0....1..2..2..1....2..1..0..1....2..1..0..1

CROSSREFS

Column 1 is A195971

Sequence in context: A049854 A291872 A195978 * A197537 A197679 A196300

Adjacent sequences:  A197277 A197278 A197279 * A197281 A197282 A197283

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Oct 12 2011

STATUS

approved

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Last modified August 15 15:24 EDT 2020. Contains 336504 sequences. (Running on oeis4.)