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%I #4 Dec 27 2014 09:40:34
%S 144,3323,32166,184145,764836,2521335,7036012,17264207,38381418,
%T 78763123,151375270,275557605,479126062,800684721,1293413658,
%U 2028024289,3097019402,4620705367,6751984484,9681773551,13650121504,18950897209
%N Number of length 6+2 0..n arrays with the sum of medians of adjacent triples multiplied by some arrangement of +-1 equal to zero
%C Row 6 of A253129
%H R. H. Hardin, <a href="/A253134/b253134.txt">Table of n, a(n) for n = 1..32</a>
%e Some solutions for n=4
%e ..2....2....1....0....2....0....0....1....1....0....1....1....0....0....0....0
%e ..1....1....2....3....1....4....2....3....1....1....0....3....1....3....4....1
%e ..1....1....0....0....3....0....4....1....4....0....3....0....1....3....2....1
%e ..2....1....2....2....3....2....4....0....0....1....0....1....4....2....1....1
%e ..3....4....2....0....0....0....3....0....3....2....1....1....1....3....1....2
%e ..0....4....0....3....2....4....3....1....2....4....1....3....0....4....3....1
%e ..3....3....3....4....1....3....1....4....1....3....0....3....3....2....1....0
%e ..1....1....1....0....0....1....2....0....0....1....0....4....1....3....4....1
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 27 2014
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