A205246 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in each of its horizontal and vertical neighbors

81, 486, 486, 2990, 4158, 2990, 18148, 36478, 36478, 18148, 111041, 323806, 515162, 323806, 111041, 677732, 2873148, 7051340, 7051340, 2873148, 677732, 4143102, 25443411, 97718448, 144087952, 97718448, 25443411, 4143102, 25302238

Offset

1,1

Comments

Table starts

.......81........486.........2990..........18148...........111041

......486.......4158........36478.........323806..........2873148

.....2990......36478.......515162........7051340.........97718448

....18148.....323806......7051340......144087952.......2954664074

...111041....2873148.....97718448.....2954664074......96890744524

...677732...25443411...1334713506....60907844595....3053080325738

..4143102..225349124..18384097800..1253758820754...98979850888752

.25302238.1996606633.251875514320.25826772963664.3147626098090446

Links

R. H. Hardin, Table of n, a(n) for n = 1..97

Example

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

Crossrefs

Sequence in context: A250613 A237077 A236646 * A205239 A236427 A235842

Adjacent sequences: A205243 A205244 A205245 * A205247 A205248 A205249

Keyword

nonn,tabl

Author

R. H. Hardin Jan 24 2012

Status

approved