%I #5 Mar 31 2012 12:36:39
%S 22,5478,103726,820650,4062384,14923636,44716536,115516220,266427776,
%T 562116652,1103746930,2042412926,3596047852,6069519806,9877920686,
%U 15574753386,23883962076,35735712652,52308828350,75077488038
%N Number of -n..n arrays x(0..7) of 8 elements with zero sum and nonzero first and second differences
%C Row 6 of A200454
%H R. H. Hardin, <a href="/A200460/b200460.txt">Table of n, a(n) for n = 1..39</a>
%e Some solutions for n=3
%e .-3...-1...-1....2...-1....2...-2....1....0....3....2....2....3....2....2...-2
%e ..3....1....2...-2...-2...-3....0....3....3....1....0...-3...-1...-1....0...-3
%e .-1...-1....0....1....3...-1....1....2....1....2...-1....2...-3...-3....3....3
%e .-3....2....2...-2...-3....3...-3....0...-3...-1....1...-2....0....3...-3...-2
%e ..3...-3....0....2....2....2....3...-1....3...-3...-3....1...-1....2....1....1
%e ..1....3....1...-1...-1...-3....1....0....1...-1...-2....0....3...-2....0...-2
%e .-3...-2...-3....3....3...-2....3...-2...-2....0....3....1....2....1...-3....2
%e ..3....1...-1...-3...-1....2...-3...-3...-3...-1....0...-1...-3...-2....0....3
%K nonn
%O 1,1
%A _R. H. Hardin_ Nov 18 2011