A203542 T(n,k)=Number of nXk 0..2 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, 72, 16, 0, 0, 64, 144, 144, 64, 0, 0, 196, 1840, 3364, 1840, 196, 0, 0, 676, 10404, 30976, 30976, 10404, 676, 0, 0, 2304, 69920, 614656, 1700580, 614656, 69920, 2304, 0, 0, 7744, 490000, 8479744, 46485124, 46485124, 8479744

Offset

1,5

Comments

Table starts

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

.0....4......4........16..........64............196..............676

.0....4.....72.......144........1840..........10404............69920

.0...16....144......3364.......30976.........614656..........8479744

.0...64...1840.....30976.....1700580.......46485124.......1680210240

.0..196..10404....614656....46485124.....3743237124.....257720706244

.0..676..69920...8479744..1680210240...257720706244...44312000955508

.0.2304.490000.129504400.56191754304.20056281523776.7260263864381124

Links

R. H. Hardin, Table of n, a(n) for n = 1..161

Example

Some solutions for n=5 k=3
..0..1..0....1..0..2....2..0..0....0..1..0....1..1..2....1..1..1....1..0..1
..0..1..0....1..0..1....1..1..1....0..1..0....0..0..0....0..0..0....1..0..1
..1..2..0....1..0..1....0..0..1....2..2..1....1..2..1....1..2..2....1..1..2
..1..2..1....0..0..0....0..2..0....1..0..1....1..0..1....1..0..1....0..1..0
..0..0..1....2..1..1....1..1..0....1..0..1....2..0..1....2..0..1....0..1..0

Crossrefs

Sequence in context: A037214 A245198 A203285 * A204301 A204084 A096904

Adjacent sequences: A203539 A203540 A203541 * A203543 A203544 A203545

Keyword

nonn,tabl

Author

R. H. Hardin Jan 02 2012

Status

approved