A267957 T(n,k)=Number of nXk 0..2 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

1, 2, 2, 4, 14, 4, 11, 96, 96, 11, 29, 726, 1625, 726, 29, 77, 5046, 30145, 30145, 5046, 77, 201, 35574, 493087, 1414023, 493087, 35574, 201, 525, 242406, 8239879, 56103165, 56103165, 8239879, 242406, 525, 1361, 1653750, 130870815, 2290723921

Offset: 1

Author

R. H. Hardin, Jan 22 2016

Keywords

• nonn
• tabl

Comments

Table starts

....1........2............4..............11...............29................77

....2.......14...........96.............726.............5046.............35574

....4.......96.........1625...........30145...........493087...........8239879

...11......726........30145.........1414023.........56103165........2290723921

...29.....5046.......493087........56103165.......5180448783......495859988413

...77....35574......8239879......2290723921.....495859988413...112089546220707

..201...242406....130870815.....87407239371...43614373673363.22894037516177941

..525..1653750...2082478515...3343976341229.3849196727799125

.1361.11113926..32398824901.124140022659137

.3525.74553750.502697528961

Examples

			Some solutions for n=3 k=4
..0..1..0..0....0..1..0..0....0..0..1..0....0..1..0..1....0..1..0..0
..0..1..1..2....2..2..1..2....1..2..1..1....1..0..1..1....2..2..1..0
..1..0..0..1....2..1..0..0....0..0..2..1....1..2..2..0....1..0..0..1
		

Links

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

Crossrefs

Column 1 is A267912.

Column 2 is A267913.

Formula

Empirical for column k:

k=1: a(n) = 3*a(n-1) +2*a(n-2) -8*a(n-3) for n>5

k=2: [order 6] for n>8

k=3: [order 56]