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%I #5 Mar 31 2012 12:36:45
%S 5,45,169,443,977,1905,3373,5555,8655,12901,18541,25891,35207,46827,
%T 61141,78483,99295,124019,153047,186915,226123,271207,322711,381229,
%U 447347,521711,605043,697945,801117,915391,1041415,1180073,1332161
%N Number of zero-sum -n..n arrays of 5 elements with first and second differences also in -n..n
%C Row 5 of A201873
%H R. H. Hardin, <a href="/A201876/b201876.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) -a(n-2) +2*a(n-3) -a(n-4) +2*a(n-5) -a(n-6) -a(n-8) -a(n-9) +a(n-10) -2*a(n-11) +3*a(n-12) -3*a(n-13) +3*a(n-14) -3*a(n-15) +2*a(n-16) -a(n-17) +a(n-18) +a(n-19) +a(n-21) -2*a(n-22) +a(n-23) -2*a(n-24) +a(n-25) -a(n-26) +a(n-27)
%e Some solutions for n=10
%e .-9....7....5...-7...10....5....1....5...-5...-3....7....1....4...-3....1....7
%e .-7....1...-2...-3....5....3....0....6....2....2....6....0...-4...-2....0....0
%e ..2...-5...-2....4...-3....4....1....0....5....4...-2...-4...-3...-2....0....0
%e ..8...-3....0....6...-6...-2...-2...-6....0...-1...-4...-3...-3....3....1...-3
%e ..6....0...-1....0...-6..-10....0...-5...-2...-2...-7....6....6....4...-2...-4
%K nonn
%O 1,1
%A _R. H. Hardin_ Dec 06 2011
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