A208013 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 1 vertically

2, 4, 4, 6, 16, 6, 9, 36, 36, 9, 13, 81, 90, 81, 12, 19, 169, 261, 225, 144, 16, 28, 361, 624, 841, 420, 256, 20, 41, 784, 1482, 2304, 1943, 784, 400, 25, 60, 1681, 3808, 6084, 5952, 4489, 1260, 625, 30, 88, 3600, 9512, 18496, 16224, 15376, 8643, 2025, 900, 36, 129

Offset

1,1

Comments

Table starts

..2...4....6.....9....13.....19.....28......41.......60.......88.......129

..4..16...36....81...169....361....784....1681.....3600.....7744.....16641

..6..36...90...261...624...1482...3808....9512....23280....58080....144996

..9..81..225...841..2304...6084..18496...53824...150544...435600...1263376

.12.144..420..1943..5952..16224..55624..181192...545140..1737120...5591900

.16.256..784..4489.15376..43264.167281..609961..1974025..6927424..24750625

.20.400.1260..8643.32860..92560.393049.1578401..5340405.20121640..78251775

.25.625.2025.16641.70225.198025.923521.4084441.14447601.58446025.247401441

Links

R. H. Hardin, Table of n, a(n) for n = 1..884

Example

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

Crossrefs

Column 1 is A002620(n+2)

Column 2 is A030179(n+2)

Column 3 is A207363

Row 1 is A000930(n+3)

Row 2 is A207170

Row 3 is A207171

Sequence in context: A207885 A207762 A207368 * A207785 A207242 A207500

Adjacent sequences: A208010 A208011 A208012 * A208014 A208015 A208016

Keyword

nonn,tabl

Author

R. H. Hardin Feb 22 2012

Status

approved