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A222853
T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements equal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order
6
1, 1, 1, 2, 7, 2, 10, 51, 51, 10, 24, 391, 737, 391, 24, 72, 2894, 19446, 19446, 2894, 72, 168, 22491, 292257, 1020085, 292257, 22491, 168, 664, 173099, 7998180, 54792022, 54792022, 7998180, 173099, 664, 1632, 1351439, 124148448, 2987881000
OFFSET
1,4
COMMENTS
Table starts
.....1........1...........2............10..............24..............72
.....1........7..........51...........391............2894...........22491
.....2.......51.........737.........19446..........292257.........7998180
....10......391.......19446.......1020085........54792022......2987881000
....24.....2894......292257......54792022......5837726398...1141704766670
....72....22491.....7998180....2987881000...1141704766670.443127930756205
...168...173099...124148448..164730750373.124856316713527
...664..1351439..3439829096.9157731030542
..1632.10562301.54306296841
..5376.83067164
.13152
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..1..0..1....0..1..0..2....0..0..0..1....0..1..0..1....0..1..2..0
..0..0..1..0....2..2..1..0....1..0..1..0....1..2..2..2....1..0..1..0
..1..2..1..1....2..1..2..0....2..0..0..2....0..0..2..0....1..1..2..1
CROSSREFS
Sequence in context: A245976 A245216 A223149 * A222654 A318059 A212835
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 07 2013
STATUS
approved