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

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

%S 0,1,2,10,40,197,980,5142,27632,152191,853564,4863492,28075992,

%T 163920550,966421928,5746596806,34428962746,207654949801,

%U 1259963104618,7686160299232,47116518171284,290105437233107,1793451033655758

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

%C Column 1 of A188333

%H R. H. Hardin, <a href="/A188325/b188325.txt">Table of n, a(n) for n = 1..32</a>

%e Some solutions for n=6

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

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

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

%e ..1....1....2....2....1....1....2...-1....1...-1....1....3....1...-2....1...-1

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

%e ..5....2....4....3....5....3....2....5....4....4....4....5....5....4....4....5

%K nonn

%O 1,3

%A _R. H. Hardin_ Mar 28 2011