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A183916 Number of nondecreasing arrangements of n numbers in -8..8 with sum zero.

%I A183916 #7 Jul 22 2025 09:18:16
%S A183916 1,9,41,177,649,2137,6375,17575,45207,109583,252117,553981,1168261,
%T A183916 2374753,4669367,8908546,16535154,29927526,52925886,91617530,
%U A183916 155484150,259062316,424306230,683919048,1085984406,1700352360,2627337510
%N A183916 Number of nondecreasing arrangements of n numbers in -8..8 with sum zero.
%C A183916 Column 8 of A183917
%H A183916 R. H. Hardin, <a href="/A183916/b183916.txt">Table of n, a(n) for n = 1..63</a>
%e A183916 Some solutions for n=4
%e A183916 .-6...-7...-7...-3...-7...-7...-4...-4...-4...-1...-2...-8...-6...-4...-5...-8
%e A183916 .-3...-5....2...-1....0....1...-2....1...-3...-1...-2...-1....1....0...-1....1
%e A183916 ..4....4....2....0....0....1....0....1....3....0....1....4....2....1....1....3
%e A183916 ..5....8....3....4....7....5....6....2....4....2....3....5....3....3....5....4
%K A183916 nonn
%O A183916 1,2
%A A183916 _R. H. Hardin_ Jan 07 2011