A204978 T(n,k)=Number of nXk 0..2 arrays with no occurrence of three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..2 introduced in row major order.

1, 2, 2, 4, 14, 4, 11, 96, 96, 11, 30, 726, 1217, 726, 30, 82, 5400, 16813, 16813, 5400, 82, 224, 40344, 226908, 451468, 226908, 40344, 224, 612, 301056, 3074889, 11815256, 11815256, 3074889, 301056, 612, 1672, 2247264, 41618941, 311275169, 594430765

Offset: 1

Author

R. H. Hardin Jan 21 2012

Keywords

• nonn
• tabl

Comments

Table starts

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

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

...4......96......1217........16813.........226908.........3074889

..11.....726.....16813.......451468.......11815256.......311275169

..30....5400....226908.....11815256......594430765.....30057359681

..82...40344...3074889....311275169....30057359681...2924321664147

.224..301056..41618941...8202482914..1519010368414.284567725886961

.612.2247264.563504926.216132492162.76757855124562

Examples

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

Links

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

Crossrefs

Column 1 is A021006(n-3)

Column 2 is A204699