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%I #7 Mar 31 2012 12:36:48
%S 5,21,95,239,529,1041,1785,3009,4655,6937,10007,13823,18963,25151,
%T 32837,42225,53147,66679,82163,100347,121523,145299,173373,204621,
%U 240115,280223,324311,374807,429953,491279,559193,632717,715225,804133,901479
%N Number of zero-sum -n..n arrays of 5 elements with first through third differences also in -n..n
%C Row 5 of A202511
%H R. H. Hardin, <a href="/A202513/b202513.txt">Table of n, a(n) for n = 1..175</a>
%F Empirical: a(n) = -a(n-1) -a(n-2) +3*a(n-5) +3*a(n-6) +3*a(n-7) +a(n-9) -2*a(n-10) -a(n-11) -2*a(n-12) +a(n-13) -3*a(n-14) -2*a(n-15) -5*a(n-16) -2*a(n-17) -3*a(n-18) +3*a(n-19) +2*a(n-20) +5*a(n-21) +2*a(n-22) +3*a(n-23) -a(n-24) +2*a(n-25) +a(n-26) +2*a(n-27) -a(n-28) -3*a(n-30) -3*a(n-31) -3*a(n-32) +a(n-35) +a(n-36) +a(n-37)
%e Some solutions for n=7
%e ..1...-1...-5....1...-2....3...-6...-2...-4...-5....4....4...-2...-1...-4...-4
%e .-3...-2...-2...-1...-4....0...-1...-1...-3...-3....0...-2...-2...-3...-3....1
%e .-4...-1....2...-4...-2...-3....3....1....1....1...-2...-4...-2...-1....0....4
%e ..0...-1....3...-1....1...-2....3....2....3....5...-3...-1....1....0....2....2
%e ..6....5....2....5....7....2....1....0....3....2....1....3....5....5....5...-3
%K nonn
%O 1,1
%A _R. H. Hardin_ Dec 20 2011
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