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Number of -3..3 arrays x(0..n-1) of n elements with sum zero and with zeroth through n-1st differences all nonzero
0

%I #4 Mar 31 2012 12:36:37

%S 0,6,14,84,264,1450,5268,25070,102854,460146,1954930,8681238,37537698,

%T 165783402,725328338,3201189116

%N Number of -3..3 arrays x(0..n-1) of n elements with sum zero and with zeroth through n-1st differences all nonzero

%C Column 3 of A200038

%e Some solutions for n=6

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

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Nov 12 2011