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A200043 Number of -n..n arrays x(0..6) of 7 elements with sum zero and with zeroth through 6th differences all nonzero 0

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

%S 0,214,5268,41228,192280,674234,1882238,4559584,9869410,19627458,

%T 36265862,63537830,105895974,169797756,263132194,395819648,579860740,

%U 831059432,1166406254,1608524888

%N Number of -n..n arrays x(0..6) of 7 elements with sum zero and with zeroth through 6th differences all nonzero

%C Row 7 of A200038

%e Some solutions for n=6

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

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

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Nov 12 2011

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