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%I #9 Mar 31 2012 12:36:10
%S 0,1,0,3,4,16,42,137,426,1398,4622,15594,53252,184060,642392,2261829,
%T 8024726,28664946,103015222,372234190,1351655526,4930080182,
%U 18055480464,66371559466,244817099870,905883648170,3361795172242,12509691344838
%N Number of strictly increasing arrangements of n nonzero numbers in -(n-1)..(n-1) with sum zero
%C Column 1 of A188122
%H R. H. Hardin, <a href="/A188114/b188114.txt">Table of n, a(n) for n = 1..32</a>
%e All solutions for n=6
%e .-5...-5...-5...-4...-4...-5...-3...-5...-4...-4...-5...-4...-5...-5...-5...-5
%e .-2...-3...-4...-3...-3...-3...-2...-4...-2...-3...-3...-3...-3...-2...-4...-4
%e .-1...-2...-1...-1...-1...-1...-1...-1...-1...-2...-1...-2...-2...-1...-2...-3
%e ..1....1....1....1....1....1....1....2....1....1....2....2....2....1....2....3
%e ..3....4....4....3....2....3....2....3....2....3....3....3....3....2....4....4
%e ..4....5....5....4....5....5....3....5....4....5....4....4....5....5....5....5
%Y Equals A188116(n-2)
%K nonn
%O 1,4
%A _R. H. Hardin_ Mar 21 2011