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A206900
T(n,k)=Number of nXk 0..3 arrays avoiding the pattern z-2 z-1 z in any row, column or nw-to-se diagonal
7
4, 16, 16, 62, 256, 62, 241, 3844, 3844, 241, 936, 58081, 211548, 58081, 936, 3636, 876096, 11745962, 11745962, 876096, 3636, 14124, 13220496, 649804846, 2408811358, 649804846, 13220496, 14124, 54865, 199487376, 35974254384
OFFSET
1,1
COMMENTS
Table starts
.....4.........16..............62.................241......................936
....16........256............3844...............58081...................876096
....62.......3844..........211548............11745962................649804846
...241......58081........11745962..........2408811358.............491471001691
...936.....876096.......649804846........491471001691..........369048436354154
..3636...13220496.....35974254384.....100388008195387.......277547203982336971
.14124..199487376...1991325229362...20501676381643219....208677027839980986946
.54865.3010168225.110232229481279.4187168666551506836.156908217690570873253816
LINKS
EXAMPLE
Some solutions for n=4 k=3
..0..1..1....2..2..1....0..1..0....0..2..0....3..1..1....0..0..3....2..0..3
..3..3..0....0..0..3....3..2..2....3..0..0....1..3..2....2..3..1....0..2..0
..3..1..1....0..0..1....1..2..1....2..1..1....3..0..1....1..2..0....3..1..1
..3..2..1....1..1..3....1..3..2....0..3..1....1..1..1....1..0..0....2..0..3
CROSSREFS
Column 1 is A206839
Column 2 is A206840
Sequence in context: A209092 A207134 A206838 * A207290 A223066 A339570
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Feb 13 2012
STATUS
approved