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Number of strictly increasing arrangements of n nonzero numbers in -(n+3)..(n+3) with sum zero
1

%I #7 Mar 31 2012 12:36:10

%S 0,5,12,51,172,624,2216,7970,28660,103599,375854,1368883,5003340,

%T 18351050,67525962,249235562,922567826,3424217898,12741735980,

%U 47526320684,177671217830,665611279282,2498575823284,9396889413586

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

%C Column 5 of A188122

%H R. H. Hardin, <a href="/A188118/b188118.txt">Table of n, a(n) for n = 1..28</a>

%e Some solutions for n=6

%e .-7...-8...-7...-9...-8...-9...-9...-9...-9...-8...-8...-8...-9...-9...-7...-8

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

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

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

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

%e ..8....8....9....9....9....8....8....5....9....9....9....5....9....9....8....8

%K nonn

%O 1,2

%A _R. H. Hardin_ Mar 21 2011