A207762 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 0 1 vertically

2, 4, 4, 6, 16, 6, 9, 36, 36, 9, 13, 81, 82, 81, 14, 19, 169, 221, 193, 196, 21, 28, 361, 493, 663, 488, 441, 31, 41, 784, 1095, 1664, 2245, 1087, 961, 46, 60, 1681, 2654, 4018, 6552, 6459, 2305, 2116, 68, 88, 3600, 6203, 11509, 16920, 21547, 17563, 4932, 4624, 100

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...82...221....493...1095....2654.....6203....14182.....33242

..9...81..193...663...1664...4018...11509....30943....79178....213444

.14..196..488..2245...6552..16920...59252...188350...538950...1709438

.21..441.1087..6459..21547..56651..235872...862146..2629798...9529570

.31..961.2305.17563..67330.178627..887114..3733566.11979209..49800326

.46.2116.4932.48649.217902.581166.3488718.17141340.57575203.278302021

Links

R. H. Hardin, Table of n, a(n) for n = 1..684

Example

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

Crossrefs

Column 1 is A038718(n+2)

Column 2 is A207069

Column 3 is A207264

Row 1 is A000930(n+3)

Row 2 is A207170

Sequence in context: A207488 A207269 A207885 * A207368 A208013 A207785

Adjacent sequences: A207759 A207760 A207761 * A207763 A207764 A207765

Keyword

nonn,tabl

Author

R. H. Hardin Feb 19 2012

Status

approved