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A252695 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every consecutive three elements in every row and column having exactly two distinct values, and in every diagonal and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order 9
46, 96, 96, 148, 142, 148, 394, 204, 204, 394, 707, 519, 134, 519, 707, 1982, 1047, 407, 407, 1047, 1982, 3703, 2719, 291, 1480, 291, 2719, 3703, 10772, 6483, 881, 2048, 2048, 881, 6483, 10772, 20437, 16887, 727, 6246, 568, 6246, 727, 16887, 20437, 60042 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
....46.....96..148....394...707...1982...3703...10772..20437...60042..115343
....96....142..204....519..1047...2719...6483...16887..42825..111655..288975
...148....204..134....407...291....881....727....2067...2067....5331....6491
...394....519..407...1480..2048...6246..12740...35128..84680..225000..573968
...707...1047..291...2048...568...4138...1276....8608...3244...18576....9144
..1982...2719..881...6246..4138..18940..25382...82842.168598..474106.1144322
..3703...6483..727..12740..1276..25382...2592...51060...5944..103716...15052
.10772..16887.2067..35128..8608..82842..51060..255112.337036.1125816.2286048
.20437..42825.2067..84680..3244.168598...5944..337036..12400..675756...28596
.60042.111655.5331.225000.18576.474106.103716.1125816.675756.3480808.4572432
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 13] for n>14
k=2: [order 10] for n>11
k=3: [order 9] for n>10
k=4: [order 10] for n>11
k=5: [order 9] for n>10
k=6: [order 10] for n>11
k=7: [order 9] for n>10
EXAMPLE
Some solutions for n=4 k=4
..0..1..0..1..0..1....0..1..0..1..0..1....0..1..1..2..2..1....0..1..1..0..0..1
..2..3..2..3..2..3....2..3..2..3..2..3....2..3..3..0..0..3....2..3..3..2..2..3
..2..3..2..3..2..3....2..3..2..3..2..3....2..1..1..2..2..3....2..1..1..0..0..1
..0..1..0..1..0..1....0..1..0..1..0..1....0..3..3..0..0..1....0..3..3..2..2..1
..0..1..0..1..0..1....0..1..0..1..0..1....2..1..1..2..2..1....2..1..1..0..0..3
..2..2..3..2..3..2....3..3..2..2..3..2....2..3..3..0..0..3....2..3..3..2..2..3
CROSSREFS
Sequence in context: A260568 A044184 A044565 * A252688 A358897 A119417
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 20 2014
STATUS
approved

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Last modified June 22 11:27 EDT 2024. Contains 373570 sequences. (Running on oeis4.)