%I #4 Nov 10 2014 07:09:23
%S 8,42,208,1242,6856,43068,245860,1589346,9213728,60568000,354452340,
%T 2354520904,13870730416,92791873776,549357227852,3693928360378,
%U 21952690573088,148190103229340,883335481978896,5981390826179620
%N Number of length n+1 0..2*3 arrays with the sum of the absolute values of adjacent differences equal to n*3
%C Column 3 of A249982
%H R. H. Hardin, <a href="/A249977/b249977.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=6
%e ..0....3....2....3....6....4....2....6....6....1....0....4....2....0....2....3
%e ..0....5....5....4....6....1....0....1....0....5....2....0....4....3....6....0
%e ..3....0....5....6....4....2....4....6....4....3....3....5....3....0....1....0
%e ..5....3....0....2....0....5....1....6....6....1....6....3....0....1....5....5
%e ..1....0....5....5....3....6....6....3....2....5....0....0....6....5....4....2
%e ..5....4....0....0....0....0....6....2....1....2....0....1....5....1....3....5
%e ..0....5....0....3....6....4....2....6....2....5....6....4....0....4....0....1
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 10 2014