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A275352 T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2. 11
1, 2, 2, 5, 14, 5, 14, 81, 54, 14, 41, 486, 288, 216, 41, 122, 2916, 1536, 1024, 864, 122, 365, 17496, 8192, 6156, 4100, 3456, 365, 1094, 104976, 43712, 38256, 31536, 16956, 13824, 1094, 3281, 629856, 235072, 239112, 266116, 175152, 70272, 55296, 3281 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

....1......2.......5........14..........41..........122............365

....2.....14......81.......486........2916........17496.........104976

....5.....54.....288......1536........8192........43712.........235072

...14....216....1024......6156.......38256.......239112........1530060

...41....864....4100.....31536......266116......2292520.......20917472

..122...3456...16956....175152.....2130176.....26615196......351504904

..365..13824...70272....982152....17258544....306863916.....5814135340

.1094..55296..291320...5645376...142784608...3682615020...101593710948

.3281.221184.1211092..33154200..1211010160..45094867336..1804283175916

.9842.884736.5070832.197081664.10285035212.548546009720.31575745629020

LINKS

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

FORMULA

Empirical for column k:

k=1: a(n) = 4*a(n-1) -3*a(n-2)

k=2: a(n) = 4*a(n-1) for n>3

k=3: [order 17] for n>20

Empirical for row n:

n=1: a(n) = 4*a(n-1) -3*a(n-2)

n=2: a(n) = 6*a(n-1) for n>3

n=3: [order 18] for n>20

n=4: [order 41] for n>43

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A007051(n-1).

Column 2 is A208428.

Row 1 is A007051(n-1).

Sequence in context: A268003 A208434 A336110 * A282056 A199655 A241114

Adjacent sequences:  A275349 A275350 A275351 * A275353 A275354 A275355

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jul 24 2016

STATUS

approved

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Last modified October 23 04:06 EDT 2021. Contains 348211 sequences. (Running on oeis4.)