A207717 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 0 0 vertically

2, 4, 4, 6, 16, 6, 10, 36, 36, 9, 16, 100, 114, 81, 14, 26, 256, 450, 387, 196, 22, 42, 676, 1644, 2205, 1414, 484, 35, 68, 1764, 6186, 12015, 11970, 5302, 1225, 56, 110, 4624, 23010, 66339, 97580, 66946, 20265, 3136, 90, 178, 12100, 85992, 364869, 805154

Offset

1,1

Comments

Table starts

..2....4.....6......10.......16.........26..........42............68

..4...16....36.....100......256........676........1764..........4624

..6...36...114.....450.....1644.......6186.......23010.........85992

..9...81...387....2205....12015......66339......364869.......2009223

.14..196..1414...11970....97580.....805154.....6614706......54438356

.22..484..5302...66946...820820...10150118...125165018....1545006848

.35.1225.20265..383845..7070805..131365535..2433018665...45118588165

.56.3136.78120.2221688.61530000.1717508184.47808913432.1332236625328

Links

R. H. Hardin, Table of n, a(n) for n = 1..763

Example

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

Crossrefs

Column 1 is A001611(n+2)

Column 2 is A207436

Row 1 is A006355(n+2)

Row 2 is A206981

Sequence in context: A208420 A208028 A208369 * A208078 A208780 A206987

Adjacent sequences: A207714 A207715 A207716 * A207718 A207719 A207720

Keyword

nonn,tabl

Author

R. H. Hardin Feb 19 2012

Status

approved