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A205663 Number of 6X(n+1) 0..3 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and no 2 X 2 subblock having the same number of counterclockwise edge increases as its vertical neighbors. 1

%I

%S 1285076,3323532,21711080,353779964,7578064080,183567605276,

%T 4682468347176,124579524794520,3411090643151380,95602219996726052,

%U 2724704605809032788,78683390684511013956,2294465096368178137108

%N Number of 6X(n+1) 0..3 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and no 2 X 2 subblock having the same number of counterclockwise edge increases as its vertical neighbors.

%C Row 5 of A205659.

%H R. H. Hardin, <a href="/A205663/b205663.txt">Table of n, a(n) for n = 1..120</a>

%e Some solutions for n=4:

%e ..1..2..1..0..2....3..0..0..2..2....1..1..3..3..1....2..1..1..3..2

%e ..2..2..1..0..0....3..0..1..1..2....3..1..3..0..0....0..1..2..3..1

%e ..3..0..1..2..3....0..2..3..2..3....2..3..1..2..1....0..2..0..3..2

%e ..1..0..3..2..1....3..2..1..0..3....2..3..1..2..0....1..2..0..1..1

%e ..1..2..3..0..1....3..0..0..0..2....3..0..2..1..0....1..0..3..3..2

%e ..2..2..3..0..0....3..0..1..2..2....3..0..2..2..2....3..0..0..1..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 30 2012

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Last modified August 13 11:30 EDT 2022. Contains 356091 sequences. (Running on oeis4.)