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%I #5 Mar 31 2012 12:36:38
%S 360,63326,1282168,11315108,62141592,253625670,838749476,2371034404,
%T 5950389676,13585723472,28694253866,56870615234,106810248534,
%U 191533300498,330111908464,549616167606,887398698638,1394638491438
%N Number of -n..n arrays x(0..8) of 9 elements with zero sum and nonzero second and third differences
%C Row 6 of A200204
%H R. H. Hardin, <a href="/A200210/b200210.txt">Table of n, a(n) for n = 1..21</a>
%e Some solutions for n=3
%e .-3...-2...-2...-3...-3...-1...-2...-3...-2...-2...-2...-2...-3...-3...-3...-3
%e .-3...-3...-3....0....1...-3...-3...-3...-3...-3...-3...-3....1....0....1....0
%e ..3....0....3...-2...-2....1....3....2....1...-1....0....2...-2...-2...-2....0
%e ..0....1....0....3...-1....2...-1....2....0....3....0....0....1....0....0....3
%e ..3...-2...-1....0....3....1....1....3....2...-1...-1....3....3....3....3....0
%e ..2....1....3....2...-3...-3....2....1....3....1....2...-1....1....1....2....3
%e .-2....1...-3....1....2....2...-2....1...-3...-1....2...-3....3...-2....0...-2
%e .-1....3....2...-2....0....2...-1....0....1....3....0....2...-2....0...-1....1
%e ..1....1....1....1....3...-1....3...-3....1....1....2....2...-2....3....0...-2
%K nonn
%O 1,1
%A _R. H. Hardin_ Nov 14 2011