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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

R. H. Hardin, Table of n, a(n) for n = 1..220

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

Adjacent sequences:  A196474 A196475 A196476 * A196478 A196479 A196480

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Oct 03 2011

STATUS

approved

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Last modified January 22 02:46 EST 2022. Contains 350481 sequences. (Running on oeis4.)