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A199655 T(n,k)=Number of nXk 0..2 arrays with values 0..2 introduced in row major order and each element equal to no more than two horizontal and vertical neighbors 8
1, 2, 2, 5, 14, 5, 14, 113, 113, 14, 41, 953, 2584, 953, 41, 122, 8037, 59212, 59212, 8037, 122, 365, 67774, 1357484, 3695683, 1357484, 67774, 365, 1094, 571530, 31120632, 230693158, 230693158, 31120632, 571530, 1094, 3281, 4819638, 713445976 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

....1.........2.............5.................14.....................41

....2........14...........113................953...................8037

....5.......113..........2584..............59212................1357484

...14.......953.........59212............3695683..............230693158

...41......8037.......1357484..........230693158............39209840355

..122.....67774......31120632........14399942873..........6663970316970

..365....571530.....713445976.......898852775335.......1132589231853096

.1094...4819638...16355879648.....56106912155198.....192491652879392515

.3281..40643380..374961537040...3502225890582058...32715334199617664326

.9842.342740340.8596061907680.218610965399514236.5560205218374521415185

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..143

EXAMPLE

Some solutions for n=5 k=3

..0..0..0....0..0..0....0..1..0....0..1..0....0..0..0....0..1..0....0..1..0

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

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

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

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

CROSSREFS

Column 1 is A007051(n-1)

Sequence in context: A208434 A275352 A282056 * A241114 A208392 A282275

Adjacent sequences:  A199652 A199653 A199654 * A199656 A199657 A199658

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Nov 08 2011

STATUS

approved

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Last modified April 23 09:35 EDT 2019. Contains 322385 sequences. (Running on oeis4.)