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1/16 the number of (n+1) X 7 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 #6 Oct 06 2015 22:08:57

%S 1814815,667017027,211915469907,85938883577009,45102927396897679

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

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

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

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

%e ..0..1..0..5..7..6..3....0..1..0..5..1..6..2....0..1..0..6..0..6..1

%e ...

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 06 2011