A198452 T(n,k)=Number of 2nX2k 0..2 arrays with values 0..2 introduced in row major order and each element unequal to exactly two horizontal and vertical neighbors

3, 13, 13, 71, 177, 71, 433, 1399, 1399, 433, 2763, 14109, 26704, 14109, 2763, 17941, 146187, 421185, 421185, 146187, 17941, 117263, 1532249, 7302285, 13048509, 7302285, 1532249, 117263, 768313, 16411255, 128955464, 396482929, 396482929

Offset

1,1

Comments

Table starts

.......3........13.........71.........433........2763.......17941.......117263

......13.......177.......1399.......14109......146187.....1532249.....16411255

......71......1399......26704......421185.....7302285...128955464...2298267371

.....433.....14109.....421185....13048509...396482929.12354617337.388054368497

....2763....146187....7302285...396482929.22496409154

...17941...1532249..128955464.12354617337

..117263..16411255.2298267371

..768313.176845253

.5038611

Links

R. H. Hardin, Table of n, a(n) for n = 1..49

Example

Some solutions for n=5 k=3
..0..1..0..1..0..1....0..1..0..1..0..1....0..1..0..1..0..1....0..1..0..1..0..1
..1..1..0..1..0..0....1..1..0..1..0..2....1..1..0..1..0..0....2..1..0..1..0..0
..2..2..0..1..1..1....0..0..0..1..0..2....0..0..0..1..1..1....2..1..0..1..1..1
..0..2..0..0..0..0....1..1..1..1..0..1....2..2..2..0..0..2....1..1..0..2..2..2
..0..2..2..2..2..2....0..0..0..0..0..1....0..0..2..0..0..2....0..0..0..2..0..0
..1..0..0..0..0..1....1..1..1..1..1..0....1..0..2..1..1..0....2..2..2..2..0..1
..1..0..2..2..0..1....0..0..0..0..1..0....1..0..2..1..1..0....0..0..0..0..0..1
..2..0..2..2..0..2....2..2..2..0..1..1....0..0..2..0..0..2....2..2..2..2..2..2
..2..0..0..0..0..2....1..1..2..0..2..2....2..2..2..0..0..2....1..1..0..0..0..0
..0..2..2..1..1..0....2..1..2..0..2..1....0..1..1..2..2..1....0..1..0..1..1..2

Crossrefs

Sequence in context: A137947 A168437 A076747 * A286190 A224693 A043055

Adjacent sequences: A198449 A198450 A198451 * A198453 A198454 A198455

Keyword

nonn,tabl

Author

R. H. Hardin Oct 25 2011

Status

approved