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Number of -n..n circular arrays x(0..7) of 8 elements with zero sums of x(i) and x(i)*x((i+1) mod 8)
1

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

%S 329,4281,22865,80065,221433,511257,1039409,1942577,3390393,5593849,

%T 8817137,13364177,19646313,28112089,39223825,53614481,71956841,

%U 95063497,123687521,158858737,201582329,252854953,314267937,386939601,472760313

%N Number of -n..n circular arrays x(0..7) of 8 elements with zero sums of x(i) and x(i)*x((i+1) mod 8)

%C Row 6 of A202006

%H R. H. Hardin, <a href="/A202010/b202010.txt">Table of n, a(n) for n = 1..30</a>

%e Some solutions for n=1

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 07 2011