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1/16 the number of (n+1) X 6 0..7 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 #10 Oct 06 2015 22:08:34

%S 135578,19849923,2610816897,470757143497,121627738709359,

%T 45102927396897679,19628509753968319015,8974005118250282637773,

%U 4133062481661217572719434

%N 1/16 the number of (n+1) X 6 0..7 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 5 of A183738.

%e Some solutions with the first block increasing clockwise for 3 X 6:

%e ..0..1..0..6..7..6....0..1..0..7..0..6....0..1..0..7..1..5....0..1..0..7..1..6

%e ..3..2..3..5..0..1....3..2..4..5..3..5....3..2..4..5..2..3....3..2..4..6..2..3

%e ..4..1..0..6..7..3....0..1..0..7..0..7....4..1..0..7..1..5....0..1..0..7..1..6

%e ...

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

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

%Y Cf. A183738.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 06 2011