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A188176 Number of strictly increasing arrangements of n numbers in -(n+2)..(n+2) with sum zero.

%I A188176 #7 Jul 22 2025 11:01:10
%S A188176 1,4,13,43,141,480,1656,5744,20094,70922,252117,901723,3243531,
%T A188176 11728606,42611990,155484150,569585274,2094177794,7725489976,
%U A188176 28588154238,106095329440,394792407478,1472734812454,5506709078310,20635115495666
%N A188176 Number of strictly increasing arrangements of n numbers in -(n+2)..(n+2) with sum zero.
%C A188176 Column 4 of A188181
%H A188176 R. H. Hardin, <a href="/A188176/b188176.txt">Table of n, a(n) for n = 1..29</a>
%e A188176 Some solutions for n=5
%e A188176 .-4...-5...-7...-5...-7...-6...-5...-3...-6...-6...-6...-4...-7...-7...-5...-6
%e A188176 .-3...-1...-2...-3...-5...-5...-4...-2...-4...-2...-3...-3...-2...-4...-4...-4
%e A188176 .-2....0....1...-2...-1....1...-1....0...-1....0...-1...-1....0....0...-3....2
%e A188176 ..2....1....2....4....6....3....3....2....5....3....3....3....3....4....5....3
%e A188176 ..7....5....6....6....7....7....7....3....6....5....7....5....6....7....7....5
%K A188176 nonn
%O A188176 1,2
%A A188176 _R. H. Hardin_ Mar 23 2011