A238523 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no element equal to all horizontal neighbors or equal to all vertical neighbors

84, 588, 588, 7056, 9612, 7056, 74676, 345744, 345744, 74676, 812028, 10332060, 49787136, 10332060, 812028, 8777664, 321566028, 5576504976, 5576504976, 321566028, 8777664, 95006100, 9918146448, 659389472784, 2197236920100

Offset

1,1

Comments

Table starts

......84........588...........7056..............74676.................812028

.....588.......9612.........345744...........10332060..............321566028

....7056.....345744.......49787136.........5576504976...........659389472784

...74676...10332060.....5576504976......2197236920100........926028739793772

..812028..321566028...659389472784....926028739793772....1409574919301273724

.8777664.9918146448.77047385296896.384603811149627048.2108531560861406325624

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Formula

Empirical for column k:

k=1: a(n) = 9*a(n-1) +21*a(n-2) -14*a(n-3)

k=2: [order 12]

k=3: [order 6]

Example

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

Crossrefs

Sequence in context: A220203 A008429 A175813 * A238518 A264654 A230907

Adjacent sequences: A238520 A238521 A238522 * A238524 A238525 A238526

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 28 2014

Status

approved