

A196718


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


7



1, 3, 3, 4, 6, 4, 5, 14, 14, 5, 8, 36, 40, 36, 8, 12, 83, 171, 171, 83, 12, 17, 192, 543, 1142, 543, 192, 17, 25, 468, 1984, 6078, 6078, 1984, 468, 25, 37, 1112, 7368, 36590, 56137, 36590, 7368, 1112, 37, 54, 2624, 25698, 222112, 573131, 573131, 222112, 25698, 2624
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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 2's, every 3 is next to 3 1's, every 4 is next to 4 3's
Table starts
..1....3......4........5..........8...........12.............17..............25
..3....6.....14.......36.........83..........192............468............1112
..4...14.....40......171........543.........1984...........7368...........25698
..5...36....171.....1142.......6078........36590.........222112.........1307674
..8...83....543.....6078......56137.......573131........5443550........50508808
.12..192...1984....36590.....573131......9202067......139260414......2140451320
.17..468...7368...222112....5443550....139260414.....3464871506.....87347779774
.25.1112..25698..1307674...50508808...2140451320....87347779774...3526366342860
.37.2624..91687..7735880..481054949..33452130666..2189117562853.141849367991283
.54.6267.332017.45646026.4618260844.518611497139.54554907624355


LINKS

R. H. Hardin, Table of n, a(n) for n = 1..144


EXAMPLE

Some solutions for n=6 k=4
..1..0..0..1....0..1..1..1....1..2..2..0....0..0..0..0....1..0..2..2
..1..1..2..2....1..3..0..0....0..2..2..0....1..2..2..0....1..0..2..2
..0..1..2..2....3..1..0..0....0..0..0..0....1..2..2..0....2..2..0..0
..0..1..1..0....1..3..0..0....1..3..1..1....0..1..1..0....2..2..0..0
..0..3..1..0....0..1..2..2....3..1..2..2....0..2..2..0....0..0..0..0
..0..1..3..1....0..1..2..2....1..0..2..2....1..2..2..0....0..0..0..0


CROSSREFS

Column 1 is A179070(n+2)
Column 2 is A196479
Sequence in context: A008443 A196456 A196485 * A265652 A074883 A196245
Adjacent sequences: A196715 A196716 A196717 * A196719 A196720 A196721


KEYWORD

nonn,tabl


AUTHOR

R. H. Hardin Oct 05 2011


STATUS

approved



