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A253035 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every consecutive three elements in every row and column having exactly two distinct values, and new values 0 upwards introduced in row major order 7
297, 1647, 1647, 9126, 12987, 9126, 50571, 102060, 102060, 50571, 280233, 802899, 1134864, 802899, 280233, 1552878, 6320511, 12647772, 12647772, 6320511, 1552878, 8605089, 49756086, 141199416, 199953846, 141199416, 49756086, 8605089 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.....297......1647........9126........50571.........280233..........1552878

....1647.....12987......102060.......802899........6320511.........49756086

....9126....102060.....1134864.....12647772......141199416.......1576282464

...50571....802899....12647772....199953846.....3170197872......50259172356

..280233...6320511...141199416...3170197872....71502727077....1612681662123

.1552878..49756086..1576282464..50259172356..1612681662123...51750105608403

.8605089.391717269.17600380920.797070583521.36393871038174.1662024911503707

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..97

FORMULA

Empirical for column k:

k=1: a(n) = 5*a(n-1) +3*a(n-2)

k=2: a(n) = 9*a(n-1) -5*a(n-2) -10*a(n-3) -174*a(n-4) +80*a(n-5) +160*a(n-6)

k=3: [order 20]

k=4: [order 72]

EXAMPLE

Some solutions for n=2 k=4

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

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

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

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

CROSSREFS

Sequence in context: A053394 A179158 A037043 * A253029 A251289 A281132

Adjacent sequences:  A253032 A253033 A253034 * A253036 A253037 A253038

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 26 2014

STATUS

approved

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Last modified December 6 13:24 EST 2021. Contains 349563 sequences. (Running on oeis4.)