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A188180 Number of strictly increasing arrangements of n numbers in -(n+6)..(n+6) with sum zero.

%I A188180 #7 Jul 22 2025 11:01:39
%S A188180 1,8,41,207,967,4370,19138,81805,343363,1421530,5820904,23626234,
%T A188180 95220378,381577586,1521967986,6047272980,23951790860,94618944122,
%U A188180 372969633775,1467518524851,5765549295661,22623246705372,88678543148354
%N A188180 Number of strictly increasing arrangements of n numbers in -(n+6)..(n+6) with sum zero.
%C A188180 Column 8 of A188181
%H A188180 R. H. Hardin, <a href="/A188180/b188180.txt">Table of n, a(n) for n = 1..25</a>
%e A188180 Some solutions for n=5
%e A188180 .-5...-7...-6...-9..-11...-8...-9...-8...-9..-10...-6..-10...-6...-8...-6...-8
%e A188180 .-2...-6...-3...-5...-3...-7...-2...-7...-6...-7...-5...-4...-4...-7...-1...-1
%e A188180 .-1...-3....1....0...-1....4....2...-2...-5....0...-2....2...-2....0....0....0
%e A188180 ..3....5....3....6....7....5....3....7....9....6....3....4....4....4....1....1
%e A188180 ..5...11....5....8....8....6....6...10...11...11...10....8....8...11....6....8
%K A188180 nonn
%O A188180 1,2
%A A188180 _R. H. Hardin_ Mar 23 2011