A208322 T(n,k)=Number of nXk 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than two of its immediate leftward or upward or left-upward diagonal neighbors

1, 2, 2, 5, 13, 5, 14, 113, 113, 14, 41, 982, 2852, 982, 41, 122, 8534, 71956, 71956, 8534, 122, 365, 74164, 1815496, 5269968, 1815496, 74164, 365, 1094, 644516, 45806048, 385979024, 385979024, 45806048, 644516, 1094, 3281, 5601112, 1155714080

Offset

1,2

Comments

Table starts

....1.......2...........5..............14.................41

....2......13.........113.............982...............8534

....5.....113........2852...........71956............1815496

...14.....982.......71956.........5269968..........385979024

...41....8534.....1815496.......385979024........82063614224

..122...74164....45806048.....28269518640.....17447625342768

..365..644516..1155714080...2070490270512...3709557427849168

.1094.5601112.29159359552.151644956050096.788692779445041968

Links

R. H. Hardin, Table of n, a(n) for n = 1..312

Example

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

Crossrefs

Column 1 is A007051(n-1)

Sequence in context: A208960 A209054 A209218 * A208175 A078413 A019083

Adjacent sequences: A208319 A208320 A208321 * A208323 A208324 A208325

Keyword

nonn,tabl

Author

R. H. Hardin Feb 25 2012

Status

approved