A207346 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 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, 18, 169, 192, 292, 256, 26, 25, 324, 426, 828, 912, 676, 42, 34, 625, 858, 2190, 3130, 2812, 1764, 68, 46, 1156, 1704, 5290, 9668, 11230, 8928, 4624, 110, 62, 2116, 3330, 12292, 27022, 41112, 43260, 28152

Offset

1,1

Comments

Table starts

..2....4.....6......9.....13......18.......25.......34........46........62

..4...16....36.....81....169.....324......625.....1156......2116......3844

..6...36....84....192....426.....858.....1704.....3330......6390.....12150

.10..100...292....828...2190....5290....12292....27978.....62574....136978

.16..256...912...3130...9668...27022....71344...185624....468864...1161400

.26..676..2812..11230..41112..128292...388134..1134282...3225374...9002616

.42.1764..8928..43260.186002..684324..2367656..8000806..26057006..82907430

.68.4624.28152.163710.828530.3524736.13950908.53882188.199473062.720751822

Links

R. H. Hardin, Table of n, a(n) for n = 1..391

Example

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

Crossrefs

Column 1 is A006355(n+2)

Column 2 is A206981

Row 1 is A171861(n+1)

Row 2 is A207025

Sequence in context: A207426 A207741 A207949 * A207895 A207467 A207918

Adjacent sequences: A207343 A207344 A207345 * A207347 A207348 A207349

Keyword

nonn,tabl

Author

R. H. Hardin Feb 17 2012

Status

approved