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%I #5 Mar 31 2012 12:36:44
%S 9,37,167,527,1341,3067,6019,11353,19601,32099,50621,75931,112125,
%T 159765,222517,304463,406447,538245,699187,897049,1138935,1425355,
%U 1774971,2184135,2666551,3233507,3883865,4649645,5521247,6521027,7664967,8949325
%N Number of zero-sum -n..n arrays of 6 elements with first through fourth differences also in -n..n
%C Row 6 of A201439
%H R. H. Hardin, <a href="/A201441/b201441.txt">Table of n, a(n) for n = 1..56</a>
%e Some solutions for n=11
%e .-1....3....6...-4...-4....7....4....2....3...11....4...-1....0....3....2....1
%e ..3....7...-3....2...-1....2....2...-8...-2....1....1....1...-1....5...-6...-1
%e .-1....6...-8....4...-1...-2....2...-7...-2...-5....3...-1...-3....5...-9...-2
%e .-3....0...-5....5...-4...-3....0....2....1...-5....3...-5...-2....0...-3...-1
%e ..0...-8....1....0....0...-4...-2....8....3...-3...-1...-2...-1...-6....6....1
%e ..2...-8....9...-7...10....0...-6....3...-3....1..-10....8....7...-7...10....2
%K nonn
%O 1,1
%A _R. H. Hardin_ Dec 01 2011