login
A206838
T(n,k) = Number of n X k 0..3 arrays avoiding the pattern z-2 z-1 z in any row, column, nw-to-se diagonal or ne-to-sw antidiagonal.
14
4, 16, 16, 62, 256, 62, 241, 3844, 3844, 241, 936, 58081, 205518, 58081, 936, 3636, 876096, 11091161, 11086238, 876096, 3636, 14124, 13220496, 598618182, 2152805235, 594138770, 13220496, 14124, 54865, 199487376, 32326073197
OFFSET
1,1
COMMENTS
Table starts
.....4.........16.............62.................241.....................936
....16........256...........3844...............58081..................876096
....62.......3844.........205518............11091161...............598618182
...241......58081.......11086238..........2152805235............418964575189
...936.....876096......594138770........413843625776.........289315497297232
..3636...13220496....31871929292......79716622309437......200394014933364651
.14124..199487376..1709151563122...15348900754966668...138717281035824236746
.54865.3010168225.91660941819721.2955760887154751440.96044763651330733440061
LINKS
EXAMPLE
Some solutions for n=5 k=3
..0..2..1....0..0..1....0..1..0....1..1..3....1..1..3....3..0..1....1..0..0
..0..1..0....2..0..3....3..2..1....1..0..0....0..1..0....0..0..3....0..0..3
..2..2..1....3..0..1....1..0..0....1..0..2....0..1..0....2..3..1....1..2..1
..0..0..1....0..1..3....3..1..3....3..2..1....0..1..1....1..2..0....0..1..3
..0..1..0....1..1..0....0..1..0....1..0..0....3..3..0....1..0..0....1..3..3
CROSSREFS
Sequence in context: A206967 A209092 A207134 * A206900 A207290 A223066
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 13 2012
STATUS
approved