A204685 T(n,k)=Number of nXk 0..3 arrays with no occurrence of three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..3 introduced in row major order.

1, 2, 2, 4, 15, 4, 12, 159, 159, 12, 40, 2191, 6451, 2191, 40, 143, 31168, 287379, 287379, 31168, 143, 528, 447343, 12711292, 40919141, 12711292, 447343, 528, 1979, 6427791, 563046972, 5770321516, 5770321516, 563046972, 6427791, 1979, 7466, 92387812

Offset: 1

Author

R. H. Hardin Jan 18 2012

Keywords

• nonn
• tabl

Comments

Table starts

....1........2.............4..............12...............40..............143

....2.......15...........159............2191............31168...........447343

....4......159..........6451..........287379.........12711292........563046972

...12.....2191........287379........40919141.......5770321516.....815364171994

...40....31168......12711292......5770321516....2579588216958.1155411237719424

..143...447343.....563046972....815364171994.1155411237719424

..528..6427791...24932875448.115180678788869

.1979.92387812.1104148318540

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..60