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A200459 Number of -n..n arrays x(0..6) of 7 elements with zero sum and nonzero first and second differences 1

%I #5 Mar 31 2012 12:36:39

%S 14,1582,19802,115140,451708,1375006,3513884,7910100,16176994,

%T 30639164,54582252,92444962,150029642,234839570,356372880,526276044,

%U 758938962,1071722528,1485196016,2023848468,2716453852,3596089776,4701336350

%N Number of -n..n arrays x(0..6) of 7 elements with zero sum and nonzero first and second differences

%C Row 5 of A200454

%H R. H. Hardin, <a href="/A200459/b200459.txt">Table of n, a(n) for n = 1..96</a>

%e Some solutions for n=3

%e .-1....2...-3....1....0...-2....1...-1....0....3....3....1...-1...-1...-1....3

%e .-3....0....3...-3....3....2....2...-3....1....2...-2...-3...-3....0...-3....1

%e ..3...-1...-3....2....0....3...-3....3....3...-1...-1....2...-1...-2....2...-2

%e ..2...-3....0...-2...-1....1...-2....2....0...-3....2...-1....3...-1....0....0

%e .-2....2....2....3....1...-2....3....0...-2...-1...-2....1....0....3...-3...-2

%e ..2....3...-2....0...-1....1...-3...-1....1...-2....1...-1....2....2....2...-1

%e .-1...-3....3...-1...-2...-3....2....0...-3....2...-1....1....0...-1....3....1

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 18 2011

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