A207426 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 0 vertically

2, 4, 4, 6, 16, 6, 9, 36, 36, 9, 15, 81, 114, 81, 14, 25, 225, 361, 351, 196, 21, 40, 625, 1425, 1521, 1162, 441, 31, 64, 1600, 5625, 8463, 6889, 3633, 961, 46, 104, 4096, 20550, 47089, 55361, 29929, 11067, 2116, 68, 169, 10816, 75076, 241087, 444889, 341329

Offset

1,1

Comments

Table starts

..2....4.....6......9.......15........25.........40...........64...........104

..4...16....36.....81......225.......625.......1600.........4096.........10816

..6...36...114....361.....1425......5625......20550........75076........282494

..9...81...351...1521.....8463.....47089.....241087......1234321.......6520459

.14..196..1162...6889....55361....444889....3210938.....23174596.....174570082

.21..441..3633..29929...341329...3892729...39698733....404854641....4315250265

.31..961.11067.127449..2048823..32936121..474552171...6837470721..102807481767

.46.2116.33994.546121.12436631.283215241.5755114104.116947584576.2485504480392

Links

R. H. Hardin, Table of n, a(n) for n = 1..365

Example

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

Crossrefs

Column 1 is A038718(n+2)

Column 2 is A207069

Row 1 is A006498(n+2)

Row 2 is A189145(n+2)

Sequence in context: A208118 A207908 A208039 * A207741 A207949 A207346

Adjacent sequences: A207423 A207424 A207425 * A207427 A207428 A207429

Keyword

nonn,tabl

Author

R. H. Hardin Feb 17 2012

Status

approved