A205055 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock equal to the number in all its horizontal and vertical neighbors

81, 243, 243, 803, 889, 803, 2892, 4171, 4171, 2892, 10948, 19151, 23720, 19151, 10948, 43261, 100761, 182720, 182720, 100761, 43261, 174282, 515720, 1280452, 1887956, 1280452, 515720, 174282, 709813, 2789316, 10523741, 24394205, 24394205

Offset

1,1

Comments

Table starts

.....81......243.......803........2892.........10948...........43261

....243......889......4171.......19151........100761..........515720

....803.....4171.....23720......182720.......1280452........10523741

...2892....19151....182720.....1887956......24394205.......274053256

..10948...100761...1280452....24394205.....431904792......9058296062

..43261...515720..10523741...274053256....9058296062....262607365879

.174282..2789316..76554719..3582717434..163545596549...8904229041644

.709813.14729453.627391509.40560306665.3436199624978.259548109909200

Links

R. H. Hardin, Table of n, a(n) for n = 1..480

Example

Some solutions for n=4 k=3
..1..2..0..2....2..1..2..0....0..1..2..1....1..2..2..0....2..0..1..1
..2..1..2..1....1..2..1..2....2..0..1..2....0..0..1..1....1..2..0..2
..0..2..0..2....0..1..2..0....1..2..1..2....1..0..0..1....0..1..2..0
..1..0..2..1....2..0..1..2....2..0..2..0....1..1..0..0....1..0..1..2
..1..2..0..2....0..1..0..1....1..2..0..1....0..1..1..0....2..1..0..2

Crossrefs

Sequence in context: A075730 A184068 A211690 * A335843 A255625 A205048

Adjacent sequences: A205052 A205053 A205054 * A205056 A205057 A205058

Keyword

nonn,tabl

Author

R. H. Hardin Jan 21 2012

Status

approved