A222479 T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..3 order.

1, 1, 1, 1, 1, 1, 4, 1, 1, 4, 5, 10, 5, 10, 5, 14, 11, 42, 42, 11, 14, 17, 126, 45, 235, 45, 126, 17, 75, 139, 1582, 1450, 1450, 1582, 139, 75, 95, 2033, 2953, 30883, 11994, 30883, 2953, 2033, 95, 411, 2229, 104833, 267772, 574388, 574388, 267772, 104833, 2229

Offset: 1

Author

R. H. Hardin Feb 21 2013

Keywords

• nonn
• tabl

Comments

Table starts

....1......1.........1............4...............5...............14

....1......1.........1...........10..............11..............126

....1......1.........5...........42..............45.............1582

....4.....10........42..........235............1450............30883

....5.....11........45.........1450...........11994...........574388

...14....126......1582........30883..........574388.........18213127

...17....139......2953.......267772.........4927416........544804117

...75...2033....104833......7073732.......482530769......39402895960

...95...2229....179105.....67911068......4741171798....1636155043302

..411..36255...6910335...1835377464....481046300094..146686792732538

..519..39685..12297363..17762404598...4838816683797.6439927626021526

.2522.667198.463356818.478005487727.496656128182183

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..143

Crossrefs

Column 1 is A222372