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A206685 T(n,k) = number of (n+1) X (k+1) 0..2 arrays with every 2 X 3 or 3 X 2 subblock having an unequal number of clockwise and counterclockwise edge increases. 9

%I

%S 81,306,306,1404,1728,1404,5352,9792,9792,5352,24336,55836,89022,

%T 55836,24336,93696,317736,645144,645144,317736,93696,422016,1809324,

%U 5747676,7423464,5747676,1809324,422016,1639296,10300608,41876592,84549024

%N T(n,k) = number of (n+1) X (k+1) 0..2 arrays with every 2 X 3 or 3 X 2 subblock having an unequal number of clockwise and counterclockwise edge increases.

%C Table starts

%C ......81......306.......1404.........5352.........24336...........93696

%C .....306.....1728.......9792........55836........317736.........1809324

%C ....1404.....9792......89022.......645144.......5747676........41876592

%C ....5352....55836.....645144......7423464......84549024.......965476188

%C ...24336...317736....5747676.....84549024....1533200232.....22293930744

%C ...93696..1809324...41876592....965476188...22293930744....514286765952

%C ..422016.10300608..373903296..11019153780..401233408020..11814420790656

%C .1639296.58646916.2722587120.125824938768.5846128911096.271625729217060

%H R. H. Hardin, <a href="/A206685/b206685.txt">Table of n, a(n) for n = 1..143</a>

%e Some solutions for n=4, k=3:

%e ..1..1..1..0....1..2..2..1....1..1..0..1....0..1..0..2....1..2..0..1

%e ..1..2..0..2....1..1..0..2....2..2..2..0....2..2..1..1....2..2..1..0

%e ..0..2..0..1....2..0..0..1....0..1..1..1....2..0..1..1....1..0..2..0

%e ..0..2..1..2....0..2..1..1....1..2..0..1....2..1..0..2....1..0..1..2

%e ..0..1..0..2....1..2..2..0....0..2..0..2....1..2..2..2....2..0..0..0

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Feb 11 2012

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Last modified September 24 21:51 EDT 2022. Contains 356949 sequences. (Running on oeis4.)