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 A205939 Number of (n+1) X 4 0..3 arrays with no 2 X 2 subblock having the number of clockwise edge increases equal to the number of counterclockwise edge increases in its adjacent leftward or upward neighbors. 1

%I #7 Dec 10 2015 02:06:23

%S 12712,81864,754704,6705048,59081744,519841120,4654724592,41664657416,

%T 370163231264,3293397673768,29454711836216,262833979249240,

%U 2340418899019728,20866728142257848,186303761325591116

%N Number of (n+1) X 4 0..3 arrays with no 2 X 2 subblock having the number of clockwise edge increases equal to the number of counterclockwise edge increases in its adjacent leftward or upward neighbors.

%C Column 3 of A205944.

%H R. H. Hardin, <a href="/A205939/b205939.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4:

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 01 2012

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