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

1,7

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

Links

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

Example

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

Crossrefs

Column 1 is A222372

Sequence in context: A356296 A222360 A222371 * A285788 A293434 A091570

Adjacent sequences: A222476 A222477 A222478 * A222480 A222481 A222482

Keyword

nonn,tabl

Author

R. H. Hardin Feb 21 2013

Status

approved