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Number of nondecreasing arrangements of n nonzero numbers in -(n+2)..(n+2) with sum zero
1

%I #5 Mar 31 2012 12:36:11

%S 0,4,12,61,288,1488,7836,42593,236130,1333130,7636298,44294040,

%T 259682196,1536666930,9167492664,55086510571,333133752902,

%U 2026193778596,12387543671686,76088580071361,469354099705916,2906492292139022

%N Number of nondecreasing arrangements of n nonzero numbers in -(n+2)..(n+2) with sum zero

%C Column 4 of A188333

%H R. H. Hardin, <a href="/A188328/b188328.txt">Table of n, a(n) for n = 1..29</a>

%e Some solutions for n=6

%e .-8...-8...-8...-6...-5...-7...-4...-7...-5...-7...-8...-5...-4...-3...-5...-6

%e .-8...-5...-7...-4...-4...-7...-3...-5...-5...-4...-6...-2...-4...-2...-5...-6

%e .-2...-5...-1...-4...-4....1...-1...-5...-4...-3...-2....1...-3...-2...-5...-4

%e ..3....5....4....2...-1....1...-1....4....1....4....3....1....1...-2....4....4

%e ..7....5....4....4....7....5....1....6....5....4....5....1....5....4....4....4

%e ..8....8....8....8....7....7....8....7....8....6....8....4....5....5....7....8

%K nonn

%O 1,2

%A _R. H. Hardin_ Mar 28 2011