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Number of -6..6 arrays x(0..n-1) of n elements with sum zero and with zeroth through n-1st differences all nonzero.
0

%I #8 Oct 03 2025 08:24:31

%S 0,12,78,808,7104,72220,674234,6674940,64642466,635825548

%N Number of -6..6 arrays x(0..n-1) of n elements with sum zero and with zeroth through n-1st differences all nonzero.

%C Column 6 of A200038

%e Some solutions for n=6

%e ..6....3....4...-3....3....1...-3....3...-2....4....2....1...-3....2...-2....5

%e .-2...-6....2....4...-3...-1...-1...-3....4...-4....6....5....5....3....2...-3

%e .-1....2...-2...-2...-6....2....6....3...-1...-2....3...-3....1...-2...-1....1

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

%e .-4....2...-4....1....1...-5...-6....2...-4...-1...-1...-5...-2....6....6...-5

%e ..3...-6....1...-2....2....4....5...-3....2...-2...-6....1....4...-6...-2....3

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 12 2011