A207895 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 0 and 1 1 1 vertically

2, 4, 4, 6, 16, 6, 9, 36, 36, 10, 13, 81, 84, 100, 16, 19, 169, 198, 292, 256, 26, 28, 361, 462, 870, 912, 676, 42, 41, 784, 1080, 2446, 3358, 2812, 1764, 68, 60, 1681, 2520, 6952, 11196, 12040, 8928, 4624, 110, 88, 3600, 5886, 20168, 38160, 49442, 47320, 28152

Offset

1,1

Comments

Table starts

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

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

..6...36....84....198.....462....1080.....2520......5886......13746......32100

.10..100...292....870....2446....6952....20168.....57838.....164914.....473632

.16..256...912...3358...11196...38160...135714....471374....1605156....5575548

.26..676..2812..12040...49442..205258...856480...3559040...14795830...61589756

.42.1764..8928..47320..231900.1153532..5888458..29719004..148308700..747498440

.68.4624.28152.182192.1070030.6420722.39828558.243318702.1460399404.8907998820

Links

R. H. Hardin, Table of n, a(n) for n = 1..419

Example

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

Crossrefs

Column 1 is A006355(n+2)

Column 2 is A206981

Column 3 is A207341

Column 4 is A207662

Row 1 is A000930(n+3)

Row 2 is A207170

Sequence in context: A207741 A207949 A207346 * A207467 A207918 A207519

Adjacent sequences: A207892 A207893 A207894 * A207896 A207897 A207898

Keyword

nonn,tabl

Author

R. H. Hardin Feb 21 2012

Status

approved