A203285 T(n,k)=Number of nXk binary arrays with every element neighboring horizontally or vertically both a 0 and a 1

0, 0, 0, 0, 4, 0, 0, 4, 4, 0, 0, 16, 28, 16, 0, 0, 36, 64, 64, 36, 0, 0, 100, 372, 676, 372, 100, 0, 0, 256, 1444, 4624, 4624, 1444, 256, 0, 0, 676, 6528, 40000, 72852, 40000, 6528, 676, 0, 0, 1764, 28900, 311364, 996004, 996004, 311364, 28900, 1764, 0, 0, 4624, 127412

Offset

1,5

Comments

Table starts

.0...0.....0.......0.........0...........0.............0...............0

.0...4.....4......16........36.........100...........256.............676

.0...4....28......64.......372........1444..........6528...........28900

.0..16....64.....676......4624.......40000........311364.........2534464

.0..36...372....4624.....72852......996004......14644480.......210076036

.0.100..1444...40000....996004....26193924.....674752576.....17603451684

.0.256..6528..311364..14644480...674752576...31747280900...1482014064400

.0.676.28900.2534464.210076036.17603451684.1482014064400.124891129720900

Links

R. H. Hardin, Table of n, a(n) for n = 1..363

Example

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

Crossrefs

Sequence in context: A284689 A037214 A245198 * A203542 A204301 A204084

Adjacent sequences: A203282 A203283 A203284 * A203286 A203287 A203288

Keyword

nonn,tabl

Author

R. H. Hardin Dec 31 2011

Status

approved