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A199655
T(n,k) = Number of n X k 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.
10
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
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
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: A336110 A275352 A282056 * A241114 A208392 A282275
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 08 2011
STATUS
approved