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A241119 T(n,k)=Number of nXk 0..3 arrays with no element equal to exactly three horizontal or vertical neighbors, with new values 0..3 introduced in row major order 6
1, 2, 2, 5, 15, 5, 15, 178, 178, 15, 51, 2614, 9918, 2614, 51, 187, 40148, 587555, 587555, 40148, 187, 715, 622645, 35000157, 134229632, 35000157, 622645, 715, 2795, 9676364, 2085879115, 30679522712, 30679522712, 2085879115, 9676364, 2795 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

...1......2..........5............15................51..................187

...2.....15........178..........2614.............40148...............622645

...5....178.......9918........587555..........35000157...........2085879115

..15...2614.....587555.....134229632.......30679522712........7012241396116

..51..40148...35000157...30679522712....26891788727245....23571710809729613

.187.622645.2085879115.7012241396116.23571710809729613.79236581561126536192

LINKS

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

FORMULA

Empirical for column k:

k=1: a(n) = 7*a(n-1) -14*a(n-2) +8*a(n-3)

k=2: [order 8] for n>10

k=3: [order 20] for n>21

k=4: [order 74] for n>75

EXAMPLE

Some solutions for n=3 k=4

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

..2..1..0..2....0..1..2..1....2..0..3..3....2..0..0..2....2..0..0..2

..0..0..3..0....3..2..0..3....3..1..1..1....3..2..2..3....1..1..1..3

CROSSREFS

Column 1 is A007581(n-1)

Column 2 is A200795

Sequence in context: A208353 A208001 A200801 * A208408 A198528 A208466

Adjacent sequences:  A241116 A241117 A241118 * A241120 A241121 A241122

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Apr 16 2014

STATUS

approved

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Last modified April 16 04:27 EDT 2021. Contains 343030 sequences. (Running on oeis4.)