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A206957
T(n,k)=Number of nXk 0..2 arrays avoiding the pattern z z+1 z in any row, column or nw-to-se diagonal
7
3, 9, 9, 25, 81, 25, 69, 625, 625, 69, 191, 4761, 11804, 4761, 191, 529, 36481, 218637, 218637, 36481, 529, 1465, 279841, 4107593, 9803278, 4107593, 279841, 1465, 4057, 2146225, 77359677, 449797912, 449797912, 77359677, 2146225, 4057, 11235
OFFSET
1,1
COMMENTS
Table starts
....3........9..........25.............69...............191
....9.......81.........625...........4761.............36481
...25......625.......11804.........218637...........4107593
...69.....4761......218637........9803278.........449797912
..191....36481.....4107593......449797912.......50967712088
..529...279841....77359677....20694430627.....5791955969105
.1465..2146225..1455935650...950821989599...656572043220119
.4057.16459249.27394495918.43676385937074.74406813170700252
LINKS
EXAMPLE
Some solutions for n=4 k=3
..0..0..2....2..2..1....1..2..2....1..0..1....0..1..2....2..2..1....2..2..2
..0..0..2....2..0..2....0..0..1....2..0..2....1..2..0....2..0..0....1..2..2
..0..0..0....2..2..0....1..2..0....0..2..2....1..2..0....2..0..0....0..2..2
..1..2..0....0..2..1....1..2..2....2..0..2....2..0..2....2..2..2....0..0..2
CROSSREFS
Column 1 is A098182(n+1)
Column 2 is A206857
Sequence in context: A207358 A207201 A206863 * A207989 A207221 A217999
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Feb 13 2012
STATUS
approved