%I #4 Apr 22 2012 08:02:34
%S 1,17,190,1672,12671,86275,542235,3200979,17970009,96806505,503889439,
%T 2547775803,12567000344,60679921204,287630757639,1341627687593,
%U 6170270168142,28028072584878,125932459466866,560392344329658
%N Number of nonnegative integer arrays of length n+15 with new values 0 upwards introduced in order, no three adjacent elements all unequal, and containing the value 8
%C Column 7 of A211849
%H R. H. Hardin, <a href="/A211848/b211848.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=3
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e ..1....1....1....1....1....1....1....1....1....1....1....0....1....1....1....1
%e ..1....1....1....1....0....1....1....1....1....1....1....1....1....1....1....1
%e ..2....2....1....1....0....2....2....2....2....2....2....1....1....2....1....2
%e ..2....2....2....2....2....1....2....2....2....1....2....2....2....1....2....2
%e ..3....3....2....2....2....1....3....3....3....1....3....2....2....1....1....3
%e ..3....3....3....3....3....3....3....3....3....3....3....3....3....3....1....2
%e ..4....3....3....3....3....3....4....4....3....3....4....3....3....3....3....2
%e ..4....4....4....4....4....4....3....4....4....4....4....4....4....4....3....4
%e ..5....4....4....4....3....4....3....5....4....4....5....4....4....4....4....4
%e ..5....5....5....5....3....5....5....5....5....4....5....5....5....5....4....5
%e ..0....5....5....5....5....4....5....6....4....5....6....5....5....5....5....5
%e ..0....6....6....6....5....4....6....6....4....5....5....6....6....6....5....6
%e ..6....6....6....6....6....6....6....7....6....6....5....6....6....6....6....5
%e ..6....7....7....6....6....6....7....7....6....6....5....7....7....7....6....5
%e ..7....7....7....7....7....7....6....8....7....7....7....7....7....7....7....7
%e ..7....8....8....7....7....7....6....7....7....7....7....8....8....8....7....7
%e ..8....8....8....8....8....8....8....7....8....8....8....7....7....8....8....8
%K nonn
%O 1,2
%A _R. H. Hardin_ Apr 22 2012