A205475 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..2 introduced in row major order

14, 48, 48, 175, 263, 175, 677, 1548, 1548, 677, 2709, 9654, 14639, 9654, 2709, 11143, 61978, 147129, 147129, 61978, 11143, 46709, 405702, 1504556, 2368164, 1504556, 405702, 46709, 198483, 2686876, 15614579, 38649376, 38649376, 15614579, 2686876

Offset

1,1

Comments

Table starts

.....14.......48........175..........677...........2709............11143

.....48......263.......1548.........9654..........61978...........405702

....175.....1548......14639.......147129........1504556.........15614579

....677.....9654.....147129......2368164.......38649376........637115198

...2709....61978....1504556.....38649376.....1002405121......26272023365

..11143...405702...15614579....637115198....26272023365....1094476686239

..46709..2686876..162976758..10546235416...690109737187...45724154665434

.198483.17926060.1709130780.175062268404.18179839278978.1914758450334723

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Example

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

Crossrefs

Sequence in context: A243042 A243043 A013323 * A205753 A332606 A232826

Adjacent sequences: A205472 A205473 A205474 * A205476 A205477 A205478

Keyword

nonn,tabl

Author

R. H. Hardin Jan 27 2012

Status

approved