A206863 T(n,k)=Number of nXk 0..2 arrays avoiding the pattern z z+1 z in any row, column, diagonal or antidiagonal.

3, 9, 9, 25, 81, 25, 69, 625, 625, 69, 191, 4761, 11092, 4761, 191, 529, 36481, 192575, 192575, 36481, 529, 1465, 279841, 3425501, 7598355, 3425501, 279841, 1465, 4057, 2146225, 61164640, 314918295, 314918295, 61164640, 2146225, 4057, 11235

Offset: 1

Author

R. H. Hardin Feb 13 2012

Keywords

• nonn
• tabl

Comments

Table starts

....3........9..........25.............69...............191

....9.......81.........625...........4761.............36481

...25......625.......11092.........192575...........3425501

...69.....4761......192575........7598355.........314918295

..191....36481.....3425501......314918295.......31208037240

..529...279841....61164640....13093461017.....3092914364659

.1465..2146225..1090023439...541018725304...303316860005399

.4057.16459249.19411973287.22336434688428.29725367062521082

Examples

			Some solutions for n=4 k=3
..2..0..2....2..1..2....1..2..2....0..0..0....0..1..2....1..1..2....2..0..1
..1..1..1....1..2..2....1..1..1....2..0..2....1..2..0....1..1..1....2..0..2
..1..1..0....0..2..1....1..0..1....2..0..1....1..2..0....0..1..2....1..0..2
..1..2..2....1..1..2....2..1..2....0..0..0....2..0..2....2..1..2....1..2..2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..111

Crossrefs

Column 1 is A098182(n+1)