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%I #5 Mar 31 2012 12:36:37
%S 14,472,4224,20978,74338,211242,514168,1115572,2215290,4099888,
%T 7165376,11941380,19119208,29580842,44432366,65037696,93057524,
%U 130487666,179703518,243503094,325156994,428455996,557766736,718083722,915090720
%N Number of -n..n arrays x(0..6) of 7 elements with zero sum and elements alternately strictly increasing and strictly decreasing
%C Row 7 of A200057
%H R. H. Hardin, <a href="/A200061/b200061.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 2*a(n-1) -a(n-3) -a(n-5) +a(n-6) -2*a(n-7) +2*a(n-8) +a(n-9) -a(n-13) -2*a(n-14) +2*a(n-15) -a(n-16) +a(n-17) +a(n-19) -2*a(n-21) +a(n-22)
%e Some solutions for n=6
%e ..1....4....3...-2....3....6...-3....0...-6...-6...-3....0....4....0...-4....4
%e .-6....2...-1....0...-6...-6....2....2....6...-4....0...-1....3....4...-6...-6
%e ..6....4....3...-3....2...-2...-4...-4...-4...-5...-6....0....5...-4....6....5
%e .-6...-6...-1....0...-3...-3....6....6....4....5....5...-3...-6....3....1...-4
%e ..3....0....0...-1....4....6...-5...-5....0....3...-3....5...-4...-6....6....4
%e ..0...-5...-4....6...-6...-3....5....6....1....5....5...-2...-6....4...-4...-5
%e ..2....1....0....0....6....2...-1...-5...-1....2....2....1....4...-1....1....2
%K nonn
%O 1,1
%A _R. H. Hardin_ Nov 13 2011
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