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A230694
T(n,k)=Number of (n+2)X(k+2) 0..2 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least two elements with value (x(i,j)+1) mod 3, and upper left element zero
5
2, 4, 4, 21, 12, 21, 139, 144, 144, 139, 913, 2494, 9430, 2494, 913, 6276, 39504, 442490, 442490, 39504, 6276, 43544, 697059, 18880359, 50969202, 18880359, 697059, 43544, 301609, 12059186, 845419469, 5571354016, 5571354016, 845419469, 12059186
OFFSET
1,1
COMMENTS
Table starts
......2.........4............21............139.............913............6276
......4........12...........144...........2494...........39504..........697059
.....21.......144..........9430.........442490........18880359.......845419469
....139......2494........442490.......50969202......5571354016....635625937026
....913.....39504......18880359.....5571354016...1548060050659.450250672900459
...6276....697059.....845419469...635625937026.450250672900459
..43544..12059186...37380126077.71568693539665
.301609.208611750.1652305192566
LINKS
FORMULA
Empirical for column k:
k=1: [order 22]
k=2: [order 94]
EXAMPLE
Some solutions for n=2 k=4
..0..2..0..2..1..0....0..2..2..1..0..1....0..1..2..2..2..0....0..1..0..2..1..0
..1..1..0..1..2..1....1..1..0..0..2..2....1..2..0..0..1..1....2..1..2..0..1..2
..0..2..1..2..2..0....0..2..1..1..0..1....1..2..2..1..2..0....0..0..0..2..0..0
..2..0..1..0..2..1....2..0..1..2..0..2....0..1..1..1..0..2....2..1..2..2..1..2
CROSSREFS
Sequence in context: A326773 A241211 A155720 * A155725 A103973 A322635
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Oct 27 2013
STATUS
approved