A208369 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 0 1 0 vertically

2, 4, 4, 6, 16, 6, 10, 36, 36, 9, 16, 100, 114, 81, 14, 26, 256, 450, 351, 196, 21, 42, 676, 1644, 1953, 1162, 441, 31, 68, 1764, 6186, 9999, 9338, 3633, 961, 46, 110, 4624, 23010, 52821, 67396, 41433, 11067, 2116, 68, 178, 12100, 85992, 275769, 507682, 422541

Offset

1,1

Comments

Table starts

..2....4.....6.....10.......16........26.........42...........68...........110

..4...16....36....100......256.......676.......1764.........4624.........12100

..6...36...114....450.....1644......6186......23010........85992........320742

..9...81...351...1953.....9999.....52821.....275769......1446381.......7572429

.14..196..1162...9338....67396....507682....3759574.....28035840.....208473118

.21..441..3633..41433...422541...4503765...47178453....497691495....5235328875

.31..961.11067.177909..2563359..38542393..570085195...8487780687..126039261499

.46.2116.33994.774134.15730896.334331082.6982331490.146860432968.3080068967794

Links

R. H. Hardin, Table of n, a(n) for n = 1..760

Example

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

Crossrefs

Column 1 is A038718(n+2)

Column 2 is A207069

Column 3 is A207421

Row 1 is A006355(n+2)

Row 2 is A206981

Row 3 is A207718

Sequence in context: A208555 A208420 A208028 * A207717 A208078 A208780

Adjacent sequences: A208366 A208367 A208368 * A208370 A208371 A208372

Keyword

nonn,tabl

Author

R. H. Hardin Feb 25 2012

Status

approved