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Number of arrays of n+2 integers in -2..2 with sum zero and the sum of every adjacent pair being odd
1

%I #5 Mar 31 2012 12:36:46

%S 4,20,26,0,96,524,726,0,2760,15560,22084,0,85120,487564,700966,0,

%T 2723256,15746520,22820940,0,89115840,518517560,755594620,0,

%U 2961237136,17306539536,25319793096,0,99494853120,583417062540,856125569286,0

%N Number of arrays of n+2 integers in -2..2 with sum zero and the sum of every adjacent pair being odd

%C Column 2 of A202076

%H R. H. Hardin, <a href="/A202070/b202070.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=10

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

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

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 10 2011