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A223149 T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements equal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..2 order 6
1, 1, 1, 2, 7, 2, 10, 31, 31, 10, 24, 187, 211, 187, 24, 72, 990, 4065, 4065, 990, 72, 168, 5721, 23376, 84196, 23376, 5721, 168, 664, 32155, 487176, 1753639, 1753639, 487176, 32155, 664, 1632, 185667, 2859044, 36926759, 35160014, 36926759, 2859044, 185667 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,4
COMMENTS
Table starts
.....1........1..........2...........10............24.............72
.....1........7.........31..........187...........990...........5721
.....2.......31........211.........4065.........23376.........487176
....10......187.......4065........84196.......1753639.......36926759
....24......990......23376......1753639......35160014.....2829178640
....72.....5721.....487176.....36926759....2829178640...219590496125
...168....32155....2859044....788312639...57855419616.17348791308859
...664...185667...61675900..17055726949.4836446707793
..1632..1068413..371133369.373400072400
..5376..6209614.8139180914
.13152.36152732
.47968
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..1..2..2....0..1..2..0....0..1..0..0....0..1..2..0....0..1..0..1
..2..0..2..0....0..0..1..0....2..0..0..1....2..2..2..2....0..2..2..0
..1..2..1..1....1..0..2..1....1..2..2..0....0..1..0..2....0..0..1..2
CROSSREFS
Column 1 is A222848
Sequence in context: A178206 A245976 A245216 * A222853 A222654 A318059
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 16 2013
STATUS
approved

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Last modified April 17 23:23 EDT 2024. Contains 371767 sequences. (Running on oeis4.)