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%I #3 Dec 15 2014 07:11:44
%S 144,3217,31420,179225,753200,2485637,6994984,17238485,38567844,
%T 79379977,153192080,279354541,486577640,813444257,1314320376,
%U 2058759561,3140840692,4677272217,6820355484,9754298757,13714118196
%N Number of length 6+2 0..n arrays with the sum of the maximum minus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero
%C Row 6 of A252177
%e Some solutions for n=4
%e ..1....0....4....0....4....3....0....2....2....0....4....3....1....1....1....3
%e ..2....1....1....2....0....2....1....2....0....2....0....2....1....0....2....1
%e ..0....0....3....2....2....0....0....1....0....0....3....4....3....1....0....2
%e ..2....1....2....3....3....0....1....0....4....1....1....2....0....4....4....4
%e ..1....1....1....0....0....0....3....3....1....2....3....1....4....4....0....0
%e ..1....1....2....4....3....1....1....2....2....2....4....2....0....3....3....2
%e ..1....3....4....2....0....1....0....4....3....0....3....3....0....4....0....3
%e ..2....4....1....2....4....2....2....1....3....3....3....4....1....0....2....1
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 15 2014