%I #8 Mar 31 2012 12:36:11
%S 1,2,8,43,252,1636,11322,81805,610358,4672836,36525052,290399543,
%T 2342043630,19118822650,157709971144,1312796873451,11015236989702,
%U 93078467831012,791462018168032,6767910089071288,58167781282121262
%N Number of strictly increasing arrangements of n numbers in -(2n-2)..(2n-2) with sum zero
%C Diagonal of A188181
%H R. H. Hardin, <a href="/A188174/b188174.txt">Table of n, a(n) for n = 1..32</a>
%e Some solutions for n=5
%e .-8...-7...-4...-6...-6...-7...-8...-8...-5...-5...-7...-6...-5...-7...-4...-7
%e .-6...-4...-2...-5...-5...-2...-1...-3...-2...-2...-5...-4...-3...-3...-3...-4
%e .-1....1....0...-3....1....1....0...-1...-1...-1....0...-1...-1....2...-1....1
%e ..7....4....2....6....3....3....1....5....0....1....4....3....3....3....3....2
%e ..8....6....4....8....7....5....8....7....8....7....8....8....6....5....5....8
%K nonn
%O 1,2
%A _R. H. Hardin_ Mar 23 2011