A205310 T(n,k)=Number of nXk 0..3 arrays with no occurrence of three equal elements in a row horizontally or vertically, and new values 0..3 introduced in row major order.

1, 2, 2, 4, 15, 4, 12, 159, 159, 12, 40, 2191, 7445, 2191, 40, 143, 31168, 381958, 381958, 31168, 143, 528, 447343, 19490790, 70985206, 19490790, 447343, 528, 1979, 6427791, 996536552, 13049279920, 13049279920, 996536552, 6427791, 1979, 7466, 92387812

Offset: 1

Author

R. H. Hardin Jan 25 2012

Keywords

• nonn
• tabl

Comments

Table starts

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

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

....4......159..........7445............381958...............19490790

...12.....2191........381958..........70985206............13049279920

...40....31168......19490790.......13049279920..........8615950028840

..143...447343.....996536552.....2404472055439.......5705396521337690

..528..6427791...50933680120...442834241887042....3775750320744043966

.1979.92387812.2603456557653.81565593153176155.2499057571450100571862

Examples

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