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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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 28 2014
STATUS
approved

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Last modified June 18 01:17 EDT 2024. Contains 373468 sequences. (Running on oeis4.)