A205352 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock having the same number of equal edges as its horizontal or vertical neighbors, and new values 0..3 introduced in row major order.

15, 110, 110, 1024, 1750, 1024, 9894, 30904, 30904, 9894, 96288, 544616, 1080457, 544616, 96288, 937926, 9559986, 36759026, 36759026, 9559986, 937926, 9140400, 168343322, 1257218433, 2423004172, 1257218433, 168343322, 9140400, 89074638

Offset

1,1

Comments

Table starts

.......15.........110..........1024...........9894..........96288

......110........1750.........30904.........544616........9559986

.....1024.......30904.......1080457.......36759026.....1257218433

.....9894......544616......36759026.....2423004172...161391622662

....96288.....9559986....1257218433...161391622662.21200252524407

...937926...168343322...43053361050.10806656599274

..9140400..2962323362.1474675468656

.89074638.52122083398

Links

R. H. Hardin, Table of n, a(n) for n = 1..49

Example

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

Crossrefs

Sequence in context: A232117 A232197 A347500 * A055504 A060931 A107585

Adjacent sequences: A205349 A205350 A205351 * A205353 A205354 A205355

Keyword

nonn,tabl

Author

R. H. Hardin Jan 26 2012

Status

approved