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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified August 2 02:31 EDT 2021. Contains 346409 sequences. (Running on oeis4.)