A205664 - OEIS

A205664

Number of 7X(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.

%I #7 Oct 09 2015 04:18:54

%S 10876432,23019504,142040528,3024213232,88431310744,2994560119488,

%T 106351019923768,3947775200832256,149503185538394128,

%U 5763112909967382456,223893620074913870560,8755461346870905553088,343348919507562739830432

%N Number of 7X(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 6 of A205659.

%H R. H. Hardin, <a href="/A205664/b205664.txt">Table of n, a(n) for n = 1..59</a>

%e Some solutions for n=4:

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 30 2012