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Number of (n+1) X 8 0..2 arrays with every 2 X 3 or 3 X 2 subblock having exactly two clockwise edge increases.
1

%I #7 May 02 2023 15:04:57

%S 1643538,2482596,6296976,35107968,279003648,2260666464,19410499584,

%T 160992300384,1323215405568,11406249937152,94660267282560,

%U 778050772950528,6706874963045376,55660237162145280,457493854494910464

%N Number of (n+1) X 8 0..2 arrays with every 2 X 3 or 3 X 2 subblock having exactly two clockwise edge increases.

%C Column 7 of A205986.

%H R. H. Hardin, <a href="/A205985/b205985.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 588*a(n-3) for n>12.

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A205986.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 02 2012