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Number of -n..n circular arrays x(0..4) of 5 elements with zero sums of x(i) and x(i)*x((i+1) mod 5)
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%I #5 Mar 31 2012 12:36:46

%S 11,31,61,101,111,231,261,361,431,491,541,801,851,931,1081,1321,1391,

%T 1671,1761,1981,2131,2311,2381,2921,3051,3291,3441,3761,3871,4411,

%U 4521,4941,5171,5411,5681,6301,6491,6831,7061,7641,7791,8491,8661,9081,9571

%N Number of -n..n circular arrays x(0..4) of 5 elements with zero sums of x(i) and x(i)*x((i+1) mod 5)

%C Row 3 of A202006

%H R. H. Hardin, <a href="/A202007/b202007.txt">Table of n, a(n) for n = 1..182</a>

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 07 2011