%I #4 Apr 21 2012 19:07:28

%S 1,29,492,6451,72840,748964,7251376,67580793,615822272,5551364270,

%T 49959824673,452156869885,4139616347242,38518992801743,

%U 365611443752993,3549527237384513,35313240436847311,360427223956197579

%N Number of nonnegative integer arrays of length n+6 with new values 0 upwards introduced in order, no three adjacent elements equal, and containing the value 6

%C Column 5 of A211836

%H R. H. Hardin, <a href="/A211833/b211833.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....1....1....1....1....1

%e ..2....2....2....0....2....2....0....2....2....2....2....2....2....2....2....2

%e ..1....3....3....2....3....3....2....3....2....3....2....3....3....3....3....3

%e ..3....2....4....3....4....4....3....4....1....2....3....4....4....4....4....4

%e ..4....4....5....0....5....4....4....0....3....4....3....1....2....4....5....5

%e ..0....5....5....4....6....5....5....3....4....5....4....5....5....5....5....4

%e ..5....3....6....5....2....0....6....5....5....6....5....6....2....6....3....6

%e ..6....6....3....6....7....6....5....6....6....1....6....5....6....6....6....7

%K nonn

%O 1,2

%A _R. H. Hardin_ Apr 21 2012