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A206734
T(n,k)=Number of nXk 0..2 arrays avoiding the pattern z-1 z-1 z in any row, column or nw-to-se diagonal
9
3, 9, 9, 25, 81, 25, 69, 625, 625, 69, 190, 4761, 11804, 4761, 190, 523, 36100, 219714, 219714, 36100, 523, 1440, 273529, 4056056, 9974630, 4056056, 273529, 1440, 3965, 2073600, 74880210, 448162001, 448162001, 74880210, 2073600, 3965, 10918
OFFSET
1,1
COMMENTS
Table starts
....3........9..........25.............69...............190
....9.......81.........625...........4761.............36100
...25......625.......11804.........219714...........4056056
...69.....4761......219714........9974630.........448162001
..190....36100.....4056056......448162001.......48956655199
..523...273529....74880210....20163037412.....5365256703040
.1440..2073600..1384146457...908849973079...589775000656222
.3965.15721225.25593791994.40990717802193.64882388838696223
LINKS
EXAMPLE
Some solutions for n=4 k=3
..0..0..0....2..1..0....2..2..1....1..0..1....2..2..0....1..1..0....1..2..1
..2..0..2....0..1..1....2..0..2....2..0..2....0..0..2....1..1..1....1..1..1
..2..0..2....1..0..2....2..2..0....0..2..2....2..0..0....0..1..0....1..0..1
..0..0..0....1..2..2....0..2..1....2..0..2....1..0..2....2..1..0....0..1..0
CROSSREFS
Sequence in context: A263320 A226717 A207208 * A207358 A207201 A206863
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Feb 11 2012
STATUS
approved