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Number of -n..n circular arrays x(0..8) of 9 elements with zero sums of x(i) and x(i)*x((i+1) mod 9)
1

%I #5 Mar 31 2012 12:36:46

%S 577,15751,101395,490879,1519417,4460689,9882793,21851983,40831435,

%T 77490037,129389941,219474487,336880639,536126239,777338533,

%U 1152674479,1605065239,2301180355,3090983005,4236736987,5528432323,7416995779

%N Number of -n..n circular arrays x(0..8) of 9 elements with zero sums of x(i) and x(i)*x((i+1) mod 9)

%C Row 7 of A202006

%H R. H. Hardin, <a href="/A202011/b202011.txt">Table of n, a(n) for n = 1..24</a>

%e Some solutions for n=1

%e ..1....1....0....0....0....0...-1....0...-1...-1....0....0....1....1....1....0

%e ..0....0...-1...-1....0....1...-1...-1...-1....1....1....1....0....0....1....1

%e .-1....1....0....0...-1....0....0....1....1....0....1....0...-1....0...-1....0

%e ..0...-1...-1....1....1....0....1....1....1....0...-1....0....1...-1....0....0

%e .-1....0....0....1...-1....0...-1....0....0...-1...-1....0...-1....1....0...-1

%e ..0....0....1...-1...-1....0....1....0....0...-1....0....0...-1....1...-1....0

%e ..1...-1....0....0....0....1....1....0....1....1...-1....0....0...-1...-1....0

%e ..0...-1....0....0....1...-1....0....0...-1....1....1...-1....0...-1....1....0

%e ..0....1....1....0....1...-1....0...-1....0....0....0....0....1....0....0....0

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 07 2011