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A222635
T(n,k)=Number of nXk 0..1 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..1 order
8
1, 1, 1, 1, 1, 1, 4, 3, 3, 4, 5, 10, 5, 10, 5, 10, 22, 34, 34, 22, 10, 12, 49, 67, 161, 67, 49, 12, 34, 121, 388, 707, 707, 388, 121, 34, 43, 316, 915, 3309, 3200, 3309, 915, 316, 43, 101, 779, 4850, 16892, 31574, 31574, 16892, 4850, 779, 101, 127, 1921, 12037, 89384
OFFSET
1,7
COMMENTS
Table starts
...1....1.....1.......4........5.........10...........12............34
...1....1.....3......10.......22.........49..........121...........316
...1....3.....5......34.......67........388..........915..........4850
...4...10....34.....161......707.......3309........16892.........89384
...5...22....67.....707.....3200......31574.......160614.......1732653
..10...49...388....3309....31574.....314146......3329090......35575297
..12..121...915...16892...160614....3329090.....34323408.....762299807
..34..316..4850...89384..1732653...35575297....762299807...16813884210
..43..779.12037..465258..9034170..385850578...8239136941..378401275324
.101.1921.63153.2414240.98521493.4227440605.188448398522.8639354062078
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..0..0..1....0..0..0..0....0..0..0..0....0..0..0..0....0..0..1..1
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..1....1..1..1..1
..0..0..0..0....1..0..0..0....1..1..0..0....0..0..0..1....1..1..1..1
CROSSREFS
Column 1 is A222353
Sequence in context: A179845 A180217 A270651 * A222649 A222616 A011762
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Feb 26 2013
STATUS
approved