A183727 - OEIS

%I #7 Oct 06 2015 22:05:29

%S 16731,388998,8439116,200260149,4858574535,134020420595,5585215240568,

%T 460509744129719,54842127230404464,7095042727449540024,

%U 920742012786042810982,118354309394343482912431

%N 1/12 the number of (n+1) X 8 0..5 arrays with every 2 X 2 subblock strictly increasing clockwise or counterclockwise with one decrease, and at least two adjacent blocks having the same increasing direction.

%C Column 7 of A183729.

%H R. H. Hardin, <a href="/A183727/b183727.txt">Table of n, a(n) for n = 1..18</a>

%e Some solutions with the first block increasing clockwise for 3 X 8:

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

%e ..0..5..0..4..5..0..4..0....0..3..4..5..4..5..4..0....0..4..5..4..5..3..4..5

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

%e ...

%e ...R..L..R..L..L..R..L.......R..L..L..R..L..R..L.......R..L..R..L..R..L..L...

%e ...L..R..L..R..R..L..R.......L..R..R..L..R..L..R.......L..R..L..R..L..R..R...

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 06 2011