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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified November 24 03:39 EST 2020. Contains 338607 sequences. (Running on oeis4.)