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A196477 T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,0,3,2,1 for x=0,1,2,3,4 5
1, 3, 3, 4, 5, 4, 5, 8, 8, 5, 8, 11, 7, 11, 8, 12, 18, 14, 14, 18, 12, 17, 28, 17, 35, 17, 28, 17, 25, 43, 27, 70, 70, 27, 43, 25, 37, 67, 42, 136, 151, 136, 42, 67, 37, 54, 105, 58, 305, 557, 557, 305, 58, 105, 54, 79, 164, 94, 611, 2351, 5955, 2351, 611, 94, 164, 79, 116, 257 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Every 0 is next to 0 4's, every 1 is next to 1 0's, every 2 is next to 2 3's, every 3 is next to 3 2's, every 4 is next to 4 1's
Table starts
..1...3...4....5.....8......12.......17........25.........37..........54
..3...5...8...11....18......28.......43........67........105.........164
..4...8...7...14....17......27.......42........58.........94.........137
..5..11..14...35....70.....136......305.......611.......1321........2832
..8..18..17...70...151.....557.....2351......6926......16083.......43523
.12..28..27..136...557....5955....38826....128960.....351238.....1374515
.17..43..42..305..2351...38826...299659...1231691....5238322....26129353
.25..67..58..611..6926..128960..1231691...8943355...60285931...301902500
.37.105..94.1321.16083..351238..5238322..60285931..528624118..3818152063
.54.164.137.2832.43523.1374515.26129353.301902500.3818152063.48720477449
LINKS
EXAMPLE
Some solutions for n=6 k=4
..0..1..1..0....1..1..0..1....1..1..0..1....1..0..0..0....1..0..0..1
..0..1..1..0....0..1..1..1....0..1..1..1....1..1..1..1....1..1..1..1
..0..1..1..0....0..1..1..0....0..1..1..0....0..1..4..1....0..1..1..0
..1..4..1..0....1..1..1..1....1..4..1..0....0..1..1..0....0..1..1..0
..1..1..1..0....1..0..0..1....1..1..1..0....1..1..1..1....1..1..1..0
..0..0..1..1....1..0..0..1....0..0..1..1....1..0..0..1....1..0..1..1
CROSSREFS
Column 1 is A179070(n+2)
Column 2 is A196204
Column 3 is A196205
Column 4 is A196206
Sequence in context: A211165 A333868 A196210 * A196146 A196314 A196287
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Oct 03 2011
STATUS
approved

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Last modified June 16 11:53 EDT 2024. Contains 373429 sequences. (Running on oeis4.)