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Number of arrays of n+2 integers in -3..3 with sum zero and adjacent elements differing in absolute value
1

%I #5 Mar 31 2012 12:36:53

%S 20,108,414,1936,9872,47732,229714,1134036,5624396,27808428,138043018,

%T 688575460,3440536326,17214566036,86312920760,433540643300,

%U 2180469363652,10980201879136,55360485999044,279418616308916,1411643137279198

%N Number of arrays of n+2 integers in -3..3 with sum zero and adjacent elements differing in absolute value

%C Column 3 of A202962

%H R. H. Hardin, <a href="/A202957/b202957.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 26 2011