A185807 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock trace equal to some horizontal or vertical neighbor 2X2 subblock trace

0, 704, 704, 2176, 13440, 2176, 30976, 260544, 260544, 30976, 166272, 5177344, 11019840, 5177344, 166272, 1567936, 104024384, 593036512, 593036512, 104024384, 1567936, 10419200, 2091689856, 29410603520, 77815012608, 29410603520

Offset

1,2

Comments

Table starts

..........0............704.............2176..............30976

........704..........13440...........260544............5177344

.......2176.........260544.........11019840..........593036512

......30976........5177344........593036512........77815012608

.....166272......104024384......29410603520......9977246681216

....1567936.....2091689856....1501824774848...1288126250997184

...10419200....42093682560...75902079167968.166089641496321408

...85438016...847003638592.3849846787713472

..615338112.17044363936064

.4793908736

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

Some solutions for 4X3
..2..0..0....2..2..2....0..0..3....2..2..2....2..0..0....2..3..0....0..2..2
..1..1..2....3..3..3....3..0..0....3..1..0....0..0..0....2..2..2....3..3..1
..3..2..1....1..2..2....1..0..2....1..0..1....2..2..0....3..2..3....0..2..2
..2..1..2....1..3..2....0..2..2....1..0..1....0..3..3....1..0..1....2..3..1

Crossrefs

Sequence in context: A188370 A185571 A186923 * A105846 A323342 A237009

Adjacent sequences: A185804 A185805 A185806 * A185808 A185809 A185810

Keyword

nonn,tabl

Author

R. H. Hardin Feb 04 2011

Status

approved