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A231324 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order 9
6, 24, 24, 216, 432, 216, 1536, 9600, 9600, 1536, 11616, 192192, 569184, 192192, 11616, 86400, 3917184, 30645600, 30645600, 3917184, 86400, 645504, 79306752, 1695860064, 4509951264, 1695860064, 79306752, 645504, 4816896, 1607468544 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.....6......24........216.........1536...........11616..............86400

....24.....432.......9600.......192192.........3917184...........79306752

...216....9600.....569184.....30645600......1695860064........93216760416

..1536..192192...30645600...4509951264....677392128096....101255199764448

.11616.3917184.1695860064.677392128096.277024322215296.112717970818679904

LINKS

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

FORMULA

Empirical for column k:

k=1: a(n) = 6*a(n-1) +12*a(n-2) -8*a(n-3)

k=2: [order 9]

k=3: [order 36]

k=4: [order 81]

EXAMPLE

Some solutions for n=2 k=4

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

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

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

CROSSREFS

Sequence in context: A049319 A203984 A237836 * A274557 A072710 A273124

Adjacent sequences:  A231321 A231322 A231323 * A231325 A231326 A231327

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 07 2013

STATUS

approved

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Last modified August 5 21:02 EDT 2021. Contains 346488 sequences. (Running on oeis4.)