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A188118 Number of strictly increasing arrangements of n nonzero numbers in -(n+3)..(n+3) with sum zero.

%I A188118 #9 Jul 22 2025 11:00:07
%S A188118 0,5,12,51,172,624,2216,7970,28660,103599,375854,1368883,5003340,
%T A188118 18351050,67525962,249235562,922567826,3424217898,12741735980,
%U A188118 47526320684,177671217830,665611279282,2498575823284,9396889413586
%N A188118 Number of strictly increasing arrangements of n nonzero numbers in -(n+3)..(n+3) with sum zero.
%C A188118 Column 5 of A188122
%H A188118 R. H. Hardin, <a href="/A188118/b188118.txt">Table of n, a(n) for n = 1..28</a>
%e A188118 Some solutions for n=6
%e A188118 .-7...-8...-7...-9...-8...-9...-9...-9...-9...-8...-8...-8...-9...-9...-7...-8
%e A188118 .-5...-5...-6...-6...-7...-4...-4...-3...-4...-4...-7...-5...-4...-6...-5...-6
%e A188118 .-3...-2...-5...-5...-2...-1...-3....1...-3...-3....1....1...-2...-1...-1...-3
%e A188118 ..1....2....3....5....2....1....1....2...-1....2....2....3...-1....1....1....3
%e A188118 ..6....5....6....6....6....5....7....4....8....4....3....4....7....6....4....6
%e A188118 ..8....8....9....9....9....8....8....5....9....9....9....5....9....9....8....8
%K A188118 nonn
%O A188118 1,2
%A A188118 _R. H. Hardin_ Mar 21 2011