A196210 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 2,0,3,4,1 for x=0,1,2,3,4

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, 135, 136, 42, 67, 37, 54, 105, 58, 305, 301, 301, 305, 58, 105, 54, 79, 164, 94, 611, 751, 899, 751, 611, 94, 164, 79, 116, 257, 137

Offset

1,2

Comments

Every 0 is next to 0 2's, every 1 is next to 1 0's, every 2 is next to 2 3's, every 3 is next to 3 4's, every 4 is next to 4 1's

Table starts

..1...3...4....5.....8....12.....17......25.......37........54........79

..3...5...8...11....18....28.....43......67......105.......164.......257

..4...8...7...14....17....27.....42......58.......94.......137.......208

..5..11..14...35....70...136....305.....611.....1321......2832......6041

..8..18..17...70...135...301....751....1774.....4243.....10211.....24823

.12..28..27..136...301...899...2922....7680....24326.....71539....213378

.17..43..42..305...751..2922..10986...35529...128823....472599...1687338

.25..67..58..611..1774..7680..35529..136967...627285...2695504..11805281

.37.105..94.1321..4243.24326.128823..627285..3421139..17683925..93767603

.54.164.137.2832.10211.71539.472599.2695504.17683925.111262773.726204291

Links

R. H. Hardin, Table of n, a(n) for n = 1..337

Example

Some solutions for n=6 k=4
..0..0..1..1....1..0..0..1....0..1..1..0....1..0..1..1....0..1..1..0
..1..1..1..0....1..0..0..1....0..1..1..0....1..1..1..0....1..1..1..0
..1..4..1..0....1..0..0..1....1..1..4..1....0..1..1..0....1..0..1..1
..0..1..1..0....1..0..0..1....1..0..1..1....0..1..1..0....1..0..1..1
..1..1..1..1....1..0..0..1....1..1..1..0....1..1..1..1....1..1..1..0
..1..0..0..1....1..0..0..1....0..1..1..0....1..0..0..1....0..1..1..0

Crossrefs

Column 1 is A179070(n+2)

Sequence in context: A108216 A211165 A333868 * A196477 A196146 A196314

Adjacent sequences: A196207 A196208 A196209 * A196211 A196212 A196213

Keyword

nonn,tabl

Author

R. H. Hardin Sep 29 2011

Status

approved