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A198285 T(n,k)=Number of 2nX2k 0..2 arrays with values 0..2 introduced in row major order and each element equal to exactly two horizontal and vertical neighbors 8
1, 1, 1, 2, 4, 2, 4, 14, 14, 4, 8, 52, 100, 52, 8, 16, 190, 662, 662, 190, 16, 32, 700, 4588, 8784, 4588, 700, 32, 64, 2574, 31718, 112750, 112750, 31718, 2574, 64, 128, 9476, 219060, 1478756, 2823604, 1478756, 219060, 9476, 128, 256, 34878, 1516006 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Table starts

...1......1........2..........4...........8...........16...........32

...1......4.......14.........52.........190..........700.........2574

...2.....14......100........662........4588........31718.......219060

...4.....52......662.......8784......112750......1478756.....19399132

...8....190.....4588.....112750.....2823604.....70004726...1748785516

..16....700....31718....1478756....70004726...3337609528.158791292898

..32...2574...219060...19399132..1748785516.158791292898

..64...9476..1516006..254611868.43705413710

.128..34878.10490668.3341562350

.256.128396.72598710

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..84

EXAMPLE

Some solutions for n=5 k=3

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

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

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

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

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

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

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

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

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

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

CROSSREFS

Sequence in context: A151706 A055372 A241078 * A136620 A139548 A193378

Adjacent sequences:  A198282 A198283 A198284 * A198286 A198287 A198288

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Oct 23 2011

STATUS

approved

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Last modified August 8 20:49 EDT 2022. Contains 356016 sequences. (Running on oeis4.)