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A205742 Number of 7X(n+1) 0..2 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 #7 Oct 09 2015 22:32:17

%S 160218,97380,526680,4116576,33070572,276139080,2333010360,

%T 20252939448,177288165936,1586346079800,14299637864256,

%U 131222784826716,1212181534620348,11354938195735176,106955852324919060

%N Number of 7X(n+1) 0..2 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 A205736.

%H R. H. Hardin, <a href="/A205742/b205742.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 30 2012

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Last modified September 16 23:59 EDT 2024. Contains 375984 sequences. (Running on oeis4.)