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%I #5 Mar 31 2012 12:36:11
%S 8512,17575,33885,61731,107233,178870,288100,450096,684572,1016737,
%T 1478379,2109067,2957499,4083008,5557206,7465798,9910578,13011585,
%U 16909449,21767949,27776747,35154340,44151244,55053378,68185688,83916031
%N Number of nondecreasing arrangements of 8 numbers in -(n+6)..(n+6) with sum zero
%C Row 8 of A188211
%H R. H. Hardin, <a href="/A188214/b188214.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n)=3*a(n-1)-2*a(n-2)-3*a(n-4)+4*a(n-5)-3*a(n-8)+3*a(n-9)-a(n-11)-a(n-12)+3*a(n-14)-3*a(n-15)+4*a(n-18)-3*a(n-19)-2*a(n-21)+3*a(n-22)-a(n-23)
%e Some solutions for n=3
%e .-6...-9...-8...-2...-9...-6...-9...-9...-8...-7...-9...-6...-9...-8...-6...-9
%e .-3...-8...-6...-2...-5...-5...-6...-6...-5...-5...-3...-6...-4...-8...-6...-3
%e .-3...-3...-3...-1...-1...-5...-4...-4...-4...-5...-3...-5...-1...-5...-3...-3
%e .-3...-2...-3...-1....2...-2...-1...-1...-4...-5....0....0...-1...-1....0...-2
%e .-2....2...-1....0....2....0....0....2....0....2....1....0...-1....1....2...-1
%e ..3....6....6....1....2....0....3....5....5....4....1....2....0....5....2....1
%e ..6....7....7....2....4....9....8....6....7....7....5....7....7....7....3....8
%e ..8....7....8....3....5....9....9....7....9....9....8....8....9....9....8....9
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 24 2011