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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

R. H. Hardin, Table of n, a(n) for n = 1..84

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

Adjacent sequences:  A223146 A223147 A223148 * A223150 A223151 A223152

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 16 2013

STATUS

approved

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Last modified March 29 05:39 EDT 2020. Contains 333105 sequences. (Running on oeis4.)