A204705 T(n,k) = Number of n X k 0..2 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..2 introduced in row major order.

1, 2, 2, 4, 14, 4, 11, 96, 96, 11, 30, 726, 1417, 726, 30, 82, 5400, 22869, 22869, 5400, 82, 224, 40344, 362020, 835135, 362020, 40344, 224, 612, 301056, 5767683, 29846373, 29846373, 5767683, 301056, 612, 1672, 2247264, 91733605, 1074195735, 2389914827

Offset: 1

Author

R. H. Hardin, Jan 18 2012

Keywords

• nonn
• tabl

Comments

Table starts

...1.......2..........4............11...............30..................82

...2......14.........96...........726.............5400...............40344

...4......96.......1417.........22869...........362020.............5767683

..11.....726......22869........835135.........29846373..........1074195735

..30....5400.....362020......29846373.......2389914827........192759130113

..82...40344....5767683....1074195735.....192759130113......34925753412578

.224..301056...91733605...38585324821...15521787839696....6319625580942184

.612.2247264.1459710274.1386815731346.1250634888842984.1144097011453760287

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..127

Crossrefs

Column 1 is A021006(n-3).