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%I #5 Mar 31 2012 12:36:38
%S 1,8,28,120,506,2240,9856,44562,199932,914676,4152696,19143782,
%T 87622590,406118090,1869888346,8701509206,40245967276,187867050760,
%U 872020225984,4080661245080,18995817588580,89071683414448,415623180115020
%N Number of -4..4 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 4 of A200192
%H R. H. Hardin, <a href="/A200188/b200188.txt">Table of n, a(n) for n = 1..200</a>
%e Some solutions for n=5
%e ..1....2....1...-1....4....0...-2...-1....0...-4...-2....0....3....4....0....2
%e ..4...-1...-4....4...-3....4....2...-3....3....3...-4...-3...-4...-4...-4...-2
%e .-3....2....2...-2....4...-2...-3....4...-2....1....3....2....4....0....3....2
%e ..1...-3...-1....3...-4....1....4...-1....2....3....0...-1...-3...-3...-2...-2
%e .-3....0....2...-4...-1...-3...-1....1...-3...-3....3....2....0....3....3....0
%K nonn
%O 1,2
%A _R. H. Hardin_ Nov 14 2011