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Number of -n..n arrays x(0..7) of 8 elements with zero sum and nonzero first and second differences
1

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

%S 22,5478,103726,820650,4062384,14923636,44716536,115516220,266427776,

%T 562116652,1103746930,2042412926,3596047852,6069519806,9877920686,

%U 15574753386,23883962076,35735712652,52308828350,75077488038

%N Number of -n..n arrays x(0..7) of 8 elements with zero sum and nonzero first and second differences

%C Row 6 of A200454

%H R. H. Hardin, <a href="/A200460/b200460.txt">Table of n, a(n) for n = 1..39</a>

%e Some solutions for n=3

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 18 2011