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Number of nonnegative integer arrays of length n+5 with new values 0 upwards introduced in order, no three adjacent elements equal, and containing the value 5
1

%I #4 Apr 21 2012 19:06:41

%S 1,22,289,2997,27312,231046,1874580,14904776,117918244,938764343,

%T 7584314256,62571430262,529504655127,4609739350977,41356047158995,

%U 382634653400446,3651204088678672,35918296393466763,364017008486567355

%N Number of nonnegative integer arrays of length n+5 with new values 0 upwards introduced in order, no three adjacent elements equal, and containing the value 5

%C Column 4 of A211836

%H R. H. Hardin, <a href="/A211832/b211832.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....2....2....2....2....2....2....2....2....2....2....2....2....2

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

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

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

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

%e ..4....5....6....0....5....5....5....5....5....0....3....2....5....5....5....5

%K nonn

%O 1,2

%A _R. H. Hardin_ Apr 21 2012