A207208 T(n,k)=Number of nXk 0..2 arrays avoiding the pattern z-1 z-1 z in any row, column, nw-to-se diagonal or ne-to-sw antidiagonal

3, 9, 9, 25, 81, 25, 69, 625, 625, 69, 190, 4761, 11047, 4761, 190, 523, 36100, 192640, 193260, 36100, 523, 1440, 273529, 3375548, 7766709, 3345883, 273529, 1440, 3965, 2073600, 59151458, 317286068, 309262926, 58023139, 2073600, 3965, 10918

Offset

1,1

Comments

Table starts

....3........9..........25.............69...............190

....9.......81.........625...........4761.............36100

...25......625.......11047.........192640...........3375548

...69.....4761......193260........7766709.........317286068

..190....36100.....3345883......309262926.......29420037104

..523...273529....58023139....12412097426.....2765632587041

.1440..2073600..1009600274...500670359576...261868042220093

.3965.15721225.17573182050.20211739475415.24816867454624858

Links

R. H. Hardin, Table of n, a(n) for n = 1..97

Example

Some solutions for n=5 k=3
..0..0..2....2..2..2....2..0..1....0..0..2....2..0..1....2..0..2....2..1..0
..1..0..1....1..1..0....0..0..0....0..0..0....2..0..2....2..2..0....2..1..2
..2..0..2....2..2..0....2..2..1....2..2..0....1..0..2....0..2..1....2..1..1
..0..2..2....1..0..2....2..0..0....1..2..2....1..2..1....2..0..1....0..1..1
..2..0..2....2..0..2....2..0..0....0..0..2....0..2..1....2..0..0....0..0..0

Crossrefs

Column 1 is A206727

Column 2 is A206728

Row 1 is A206727

Row 2 is A206728

Sequence in context: A267966 A263320 A226717 * A206734 A207358 A207201

Adjacent sequences: A207205 A207206 A207207 * A207209 A207210 A207211

Keyword

nonn,tabl

Author

R. H. Hardin Feb 15 2012

Status

approved