%I #7 Oct 06 2015 21:58:32
%S 29,174,950,5362,30113,169560,954496,5374440,30261345,170394226,
%T 959449106,5402445266,30419982145,171288302164,964487232600,
%U 5430818438104,30579761182213,172188006484798,969553341271046
%N 1/20 of the number of (n+1) X 5 0..4 arrays with every 2 X 2 subblock strictly increasing clockwise or counterclockwise with one decrease.
%C Column 4 of A183719.
%H R. H. Hardin, <a href="/A183714/b183714.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 6*a(n-1) + 5*a(n-2) - 42*a(n-3) - 2*a(n-4) + 84*a(n-5) - 20*a(n-6) - 46*a(n-7) + 19*a(n-8) + 2*a(n-9) - a(n-10).
%e Some solutions for 3 X 5:
%e ..2..1..2..0..1....4..3..0..3..4....3..4..3..4..2....0..3..4..3..4
%e ..3..0..3..4..3....0..2..1..2..1....2..1..2..0..1....1..2..0..1..0
%e ..2..1..2..0..2....4..3..4..3..4....4..0..3..4..2....0..3..4..2..3
%e ...
%e ...L..R..L..R.......L..R..L..R.......R..L..R..L.......L..R..L..R...
%e ...R..L..R..L.......R..L..R..L.......L..R..L..R.......R..L..R..L...
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 06 2011