%I #5 Mar 31 2012 12:36:38
%S 1,12,66,426,2794,18838,127800,881008,6081086,42452472,296258332,
%T 2085263400,14662923954,103810065802,734016517080,5219300699654,
%U 37060739113354,264413563521598,1883784631395118,13476226807283384
%N Number of -6..6 arrays x(0..n-1) of n elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing
%C Column 6 of A200192
%H R. H. Hardin, <a href="/A200190/b200190.txt">Table of n, a(n) for n = 1..200</a>
%e Some solutions for n=5
%e ..4....3...-1....4....0....2...-2....1....4....5...-2...-6....6...-1...-2....2
%e .-6...-3....6...-6....5....4....2....3...-2...-6...-4....4...-5....5...-5...-2
%e ..4...-1...-6....1...-5...-6...-5...-4....5....2....2....2....5...-4....6....0
%e .-4...-3....2...-4....2....3....6....5...-5...-3....0....6...-4....2...-1...-3
%e ..2....4...-1....5...-2...-3...-1...-5...-2....2....4...-6...-2...-2....2....3
%K nonn
%O 1,2
%A _R. H. Hardin_ Nov 14 2011