%I #4 Apr 21 2012 19:05:21

%S 1,11,77,461,2621,14862,86295,520534,3285279,21751723,151075466,

%T 1099127680,8359344687,66315597630,547588531486,4697070887568,

%U 41777761715433,384670982322915,3661036657532939,35965773063598059

%N Number of nonnegative integer arrays of length n+3 with new values 0 upwards introduced in order, no three adjacent elements equal, and containing the value 3

%C Column 2 of A211836

%H R. H. Hardin, <a href="/A211830/b211830.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....0....1....1....1....1....1....1....1....1....1....1....1....1

%e ..2....2....2....1....2....2....0....2....0....2....2....2....2....2....2....2

%e ..3....3....3....2....3....1....2....3....2....1....0....3....0....2....2....3

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Apr 21 2012