A207519 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically

2, 4, 4, 6, 16, 6, 9, 36, 36, 10, 14, 81, 98, 100, 16, 21, 196, 271, 358, 256, 26, 31, 441, 834, 1307, 1152, 676, 42, 46, 961, 2307, 5458, 5369, 3910, 1764, 68, 68, 2116, 6115, 19909, 29622, 23645, 12994, 4624, 110, 100, 4624, 16544, 68807, 137719, 174224

Offset

1,1

Comments

Table starts

..2....4.....6......9......14.......21........31.........46..........68

..4...16....36.....81.....196......441.......961.......2116........4624

..6...36....98....271.....834.....2307......6115......16544.......44250

.10..100...358...1307....5458....19909.....68807.....243954......851870

.16..256..1152...5369...29622...137719....600283....2713480....12034046

.26..676..3910..23645..174224..1048423...5849409...34086388...194127326

.42.1764.12994.101233..991184..7666319..54373655..406281454..2956097240

.68.4624.43596.439063.5723716.57113109.516879019.4964342828.46263548214

Links

R. H. Hardin, Table of n, a(n) for n = 1..337

Example

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

Crossrefs

Column 1 is A006355(n+2)

Column 2 is A206981

Column 3 is A207462

Column 4 is A207463

Row 1 is A038718(n+2)

Row 2 is A207069

Row 3 is A207392

Sequence in context: A207895 A207467 A207918 * A208698 A207928 A207858

Adjacent sequences: A207516 A207517 A207518 * A207520 A207521 A207522

Keyword

nonn,tabl

Author

R. H. Hardin Feb 18 2012

Status

approved