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A222290 T(n,k)=Number of nXk 0..1 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..1 order 9
1, 0, 0, 0, 0, 0, 3, 4, 4, 3, 4, 11, 4, 11, 4, 4, 8, 35, 35, 8, 4, 5, 44, 83, 208, 83, 44, 5, 20, 144, 532, 1125, 1125, 532, 144, 20, 27, 352, 1427, 6619, 6582, 6619, 1427, 352, 27, 48, 692, 8540, 40321, 89852, 89852, 40321, 8540, 692, 48, 63, 2488, 23798, 250681 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,7
COMMENTS
Table starts
...1.....0.......0.........3...........4..............4..............5
...0.....0.......4........11...........8.............44............144
...0.....4.......4........35..........83............532...........1427
...3....11......35.......208........1125...........6619..........40321
...4.....8......83......1125........6582..........89852.........564838
...4....44.....532......6619.......89852........1249354.......17801910
...5...144....1427.....40321......564838.......17801910......262048125
..20...352....8540....250681.....7879795......256986006.....8550246097
..27...692...23798...1569385....50958999.....3744123550...129184703815
..48..2488..143594...9860229...723447048....55066210090..4294346570524
..63..6476..405187..62350467..4750196831...815041154350.66002018148195
.175.17095.2455279.395971584.67994171066.12128319606229
LINKS
EXAMPLE
Some solutions for n=4 k=4
..0..0..0..1....0..0..0..0....0..0..1..1....0..1..1..1....0..0..0..1
..0..0..0..0....1..1..0..0....0..0..1..1....1..1..1..1....0..0..1..1
..1..0..0..0....1..1..1..1....0..0..0..1....1..1..1..0....0..0..1..1
..1..0..0..0....1..1..1..1....0..0..0..1....1..1..0..0....0..0..1..1
CROSSREFS
Sequence in context: A350188 A295570 A035004 * A222430 A222275 A355017
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Feb 14 2013
STATUS
approved

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Last modified April 18 06:24 EDT 2024. Contains 371769 sequences. (Running on oeis4.)