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