A205161 T(n,k)=Number of nXk 0..3 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..3 introduced in row major order.

1, 2, 2, 4, 15, 4, 12, 159, 159, 12, 40, 2191, 6941, 2191, 40, 143, 31168, 332285, 332285, 31168, 143, 528, 447343, 15821727, 54314298, 15821727, 447343, 528, 1979, 6427791, 754700909, 8797534495, 8797534495, 754700909, 6427791, 1979, 7466, 92387812

Offset: 1

Author

R. H. Hardin Jan 22 2012

Keywords

• nonn
• tabl

Comments

Table starts

....1........2.............4................12....................40

....2.......15...........159..............2191.................31168

....4......159..........6941............332285..............15821727

...12.....2191........332285..........54314298............8797534495

...40....31168......15821727........8797534495.........4826926610498

..143...447343.....754700909.....1427843505563......2654271236904226

..528..6427791...35987024999...231638725420288...1458877292453477918

.1979.92387812.1716127952620.37582214286016391.801931987315155805350

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..84

Crossrefs

Column 1 is A204678

Column 2 is A204679