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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 6
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified December 2 04:43 EST 2021. Contains 349437 sequences. (Running on oeis4.)