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Number of zero-sum -2..2 arrays of n elements with first through fourth differences also in -2..2
1

%I #6 Mar 31 2012 12:36:44

%S 1,3,5,15,21,37,39,65,107,183,313,527,853,1459,2455,4167,7051,11857,

%T 20009,33993,57671,98267,167457,285197,487513,833647,1427739,2448037,

%U 4197785,7202371,12370905,21249671,36538153,62845703,108146777,186184157

%N Number of zero-sum -2..2 arrays of n elements with first through fourth differences also in -2..2

%C Column 2 of A201439

%H R. H. Hardin, <a href="/A201433/b201433.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=10

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 01 2011