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A232281 T(n,k)=Number of nXk 0..2 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors 12
3, 3, 9, 9, 35, 27, 22, 199, 104, 81, 51, 1066, 1672, 341, 243, 121, 6019, 23055, 18117, 1189, 729, 292, 32301, 293426, 604133, 184115, 4040, 2187, 704, 174400, 3476318, 17145989, 14477600, 1774344, 13560, 6561, 1691, 944500, 43029161, 450287974 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.....3......3..........9............22...............51.................121

.....9.....35........199..........1066.............6019...............32301

....27....104.......1672.........23055...........293426.............3476318

....81....341......18117........604133.........17145989...........450287974

...243...1189.....184115......14477600........906702319.........52334662011

...729...4040....1774344.....340593196......47260154104.......6001447087200

..2187..13560...17764558....8229274953....2527067273698.....706877889324298

..6561..45803..178471267..198816273957..135096346014359...83179007080796381

.19683.155131.1771400531.4771778176334.7180729990183315.9733054114073214077

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..127

FORMULA

Empirical for column k:

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

k=2: [order 11] for n>12

k=3: [order 35] for n>36

Empirical for row n:

n=1: a(n) = 3*a(n-1) -3*a(n-2) +4*a(n-3) -a(n-4) +a(n-5) for n>6

n=2: [order 10]

n=3: [order 52] for n>53

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Column 1 is A000244

Column 2 is A231645

Row 1 is A202882 for n>1

Sequence in context: A146575 A100066 A170832 * A223743 A117783 A121445

Adjacent sequences:  A232278 A232279 A232280 * A232282 A232283 A232284

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 22 2013

STATUS

approved

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Last modified August 12 04:28 EDT 2022. Contains 356067 sequences. (Running on oeis4.)