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A222703
T(n,k)=Number of nXk 0..1 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..1 order
7
1, 1, 1, 1, 1, 1, 4, 5, 5, 4, 5, 16, 9, 16, 5, 10, 29, 62, 62, 29, 10, 12, 78, 159, 359, 159, 78, 12, 34, 236, 955, 2002, 2002, 955, 236, 34, 43, 638, 2609, 12101, 11878, 12101, 2609, 638, 43, 101, 1515, 15700, 73901, 163123, 163123, 73901, 15700, 1515, 101, 127, 4345
OFFSET
1,7
COMMENTS
Table starts
...1.....1.......1.........4............5.............10..............12
...1.....1.......5........16...........29.............78.............236
...1.....5.......9........62..........159............955............2609
...4....16......62.......359.........2002..........12101...........73901
...5....29.....159......2002........11878.........163123.........1025809
..10....78.....955.....12101.......163123........2275891........32501123
..12...236....2609.....73901......1025809.......32501123.......477839646
..34...638...15700....460669.....14430600......470481133.....15677424850
..43..1515...43653...2883822.....93266451.....6874602187....236833178725
.101..4345..265172..18178638...1330837238...101296942810...7904715597566
.127.11927..745702.115115070...8729138750..1501871230690.121438163564977
.331.32187.4553731.732065684.125508527702.22379588717639
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..0..0..0....0..0..1..1....0..0..0..0....0..0..0..0....0..0..0..0
..0..0..0..1....0..1..1..1....1..0..0..0....1..0..0..0....0..0..0..0
..0..0..1..0....0..0..1..1....0..0..0..0....1..1..0..0....0..0..0..1
CROSSREFS
Column 1 is A222353
Column 2 is A222535
Sequence in context: A320475 A106626 A280191 * A222587 A222378 A360853
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Feb 28 2013
STATUS
approved