A183465 T(n,k)=Number of (n+4)X(k+4) binary arrays with every 1 having exactly three king-move neighbors equal to 1 but with no 2X2 blocks of 1s

1, 1, 1, 2, 3, 2, 3, 11, 11, 3, 4, 19, 32, 19, 4, 21, 59, 69, 69, 59, 21, 40, 309, 498, 199, 498, 309, 40, 60, 685, 1621, 1577, 1577, 1621, 685, 60, 344, 2317, 4364, 6125, 8702, 6125, 4364, 2317, 344, 706, 11977, 30246, 20625, 42613, 42613, 20625, 30246, 11977, 706

Offset

1,4

Comments

Table starts

...1.....1......2.......3........4........21..........40...........60

...1.....3.....11......19.......59.......309.........685.........2317

...2....11.....32......69......498......1621........4364........30246

...3....19.....69.....199.....1577......6125.......20625.......153353

...4....59....498....1577.....8702.....42613......210362......1459669

..21...309...1621....6125....42613....248303.....1724088.....13731628

..40...685...4364...20625...210362...1724088....15282749....158811752

..60..2317..30246..153353..1459669..13731628...158811752...2019698992

.344.11977.103071..622193..7676361..97119162..1460794339..23019242424

.706.30233.318890.2445793.44631710.756707222.14117917139.278157171202

Links

R. H. Hardin, Table of n, a(n) for n = 1..179

Example

Some solutions for 8X7
..0..0..1..0..0..0..0....0..0..0..0..0..0..0....0..0..0..0..0..0..0
..0..1..1..1..0..0..0....0..0..0..1..0..0..0....0..0..0..0..0..0..0
..1..0..0..0..1..0..0....0..0..1..1..1..0..0....0..0..0..0..0..0..0
..1..1..0..0..1..1..0....0..1..0..0..0..1..0....0..0..1..1..1..0..0
..1..0..0..0..1..0..0....0..1..1..0..0..1..1....0..1..0..1..0..1..0
..0..1..1..1..0..0..0....0..0..1..0..0..0..1....1..1..0..0..0..1..1
..0..0..1..0..0..0..0....0..0..0..1..1..1..0....0..1..0..1..0..1..0
..0..0..0..0..0..0..0....0..0..0..0..1..0..0....0..0..1..1..1..0..0

Crossrefs

Sequence in context: A078331 A093868 A194603 * A223168 A322404 A077942

Adjacent sequences: A183462 A183463 A183464 * A183466 A183467 A183468

Keyword

nonn,tabl

Author

R. H. Hardin Jan 05 2011

Status

approved