%I #3 Dec 15 2014 07:04:44
%S 6,536,1428,17092,100894,753200,4652710,29364176,177955614,1080135428,
%T 6499878776,39104150100,234816782208,1409805025568,8460732943882,
%U 50772490924064,304654183120186,1828001400070884,10968208935015636
%N Number of length n+2 0..5 arrays with the sum of the maximum minus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero
%C Column 5 of A252177
%e Some solutions for n=5
%e ..1....4....4....4....2....1....1....5....5....2....4....0....3....0....2....3
%e ..0....2....5....5....5....0....4....3....4....4....4....1....1....4....1....2
%e ..1....0....3....1....0....2....1....1....5....5....4....3....4....4....0....4
%e ..1....2....2....0....5....3....1....0....5....4....0....2....2....3....5....5
%e ..1....1....3....3....4....3....1....0....4....4....0....2....2....3....4....1
%e ..2....1....4....3....5....0....4....4....0....1....5....5....1....4....4....4
%e ..4....2....5....4....1....3....2....3....3....0....2....3....1....4....3....1
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 15 2014