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A232281
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T(n,k)=Number of nXk 0..2 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors
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12
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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
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OFFSET
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1,1
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COMMENTS
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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
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..127
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FORMULA
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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
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EXAMPLE
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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
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CROSSREFS
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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
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin, Nov 22 2013
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STATUS
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approved
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