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1/12 the number of (n+1) X 7 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.
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%I #7 Oct 06 2015 22:05:02

%S 3070,41423,525895,7319684,112949014,2740758406,134020420595,

%T 9546147995730,729082624201394,55559473375122011,4177316401273489526,

%U 310180873007618124181,22791464284740341972598,1660173775969136404275224

%N 1/12 the number of (n+1) X 7 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 6 of A183729.

%H R. H. Hardin, <a href="/A183726/b183726.txt">Table of n, a(n) for n = 1..59</a>

%e Some solutions with the first block increasing clockwise for 3 X 7:

%e ..1..2..0..1..2..0..1....1..2..3..1..2..1..2....2..5..4..3..4..1..2

%e ..4..3..5..4..3..5..4....0..5..4..0..4..0..4....1..0..1..2..5..0..5

%e ..0..1..0..1..2..0..2....1..2..3..1..3..1..3....3..5..4..3..4..2..3

%e ...

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 06 2011