A208698 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 1 0 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, 22, 196, 271, 358, 256, 26, 35, 484, 844, 1309, 1152, 676, 42, 56, 1225, 2706, 5524, 5371, 3910, 1764, 68, 90, 3136, 8977, 24086, 30160, 23637, 12994, 4624, 110, 145, 8100, 30168, 109599, 177488, 177872

Offset

1,1

Comments

Table starts

..2....4.....6......9......14.......22.........35..........56...........90

..4...16....36.....81.....196......484.......1225........3136.........8100

..6...36....98....271.....844.....2706.......8977.......30168.......102384

.10..100...358...1309....5524....24086.....109599......506870......2376964

.16..256..1152...5371...30160...177488....1103081.....6990922.....45002090

.26..676..3910..23637..177872..1415508...12014735...104356568....923279444

.42.1764.12994.101069.1016258.10934750..126827983..1510509752..18362140414

.68.4624.43596.438103.5893862.85697362.1356513169.22125222702.369223577680

Links

R. H. Hardin, Table of n, a(n) for n = 1..418

Example

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

Crossrefs

Column 1 is A006355(n+2)

Column 2 is A206981

Column 3 is A207462

Column 4 is A207914

Row 1 is A001611(n+2)

Row 2 is A207436

Row 3 is A207939

Sequence in context: A207467 A207918 A207519 * A207928 A207858 A208379

Adjacent sequences: A208695 A208696 A208697 * A208699 A208700 A208701

Keyword

nonn,tabl

Author

R. H. Hardin Mar 01 2012

Status

approved