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%I #5 Mar 31 2012 12:36:44
%S 1,5,21,75,111,527,1275,3643,10245,30215,82859,239133,688547,1986411,
%T 5743067,16751055,48750751,142319063,416145857,1218638091,3571823395,
%U 10485601869,30812312143,90634015523,266849118935,786358091871
%N Number of zero-sum -4..4 arrays of n elements with first through fourth differences also in -4..4
%C Column 4 of A201439
%H R. H. Hardin, <a href="/A201435/b201435.txt">Table of n, a(n) for n = 1..162</a>
%e Some solutions for n=10
%e .-3....3...-1....2....2....1...-3....2...-4....1...-1...-4....3....4...-3...-2
%e .-4....3....0....3....0...-2...-1....0....0....0....0...-4...-1....1....1....2
%e .-2....1...-1....3...-2...-2...-2...-2....2....0....0...-3...-2...-1....2....2
%e ..0...-2...-1....1...-2...-1...-3...-2....1...-1...-1...-1...-2...-3....0...-1
%e ..2...-3....1...-1...-2....1...-2....0...-2...-1....0....1...-1...-2...-2...-4
%e ..3...-3....2...-2....0....1....1....2...-3...-1....2....3...-1....1...-2...-4
%e ..2...-2....2...-1....2....0....3....2...-2....0....2....3...-1....2....0...-2
%e ..0...-1....0...-1....2....0....3....1....1....1....0....3....0....0....2....1
%e ..0....1...-2...-1....1....0....3....0....4....1...-1....2....1...-2....2....4
%e ..2....3....0...-3...-1....2....1...-3....3....0...-1....0....4....0....0....4
%K nonn
%O 1,2
%A _R. H. Hardin_ Dec 01 2011