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Number of nonnegative integer arrays of length n+11 with new values 0 upwards introduced in order, no three adjacent elements all unequal, and containing the value 6
1

%I #4 Apr 22 2012 08:00:57

%S 1,13,113,785,4755,26163,134164,651814,3035018,13657458,59769854,

%T 255628486,1072565093,4428689165,18041493575,72667375995,289905733805,

%U 1147339718965,4510476836460,17634066423470,68632042506612

%N Number of nonnegative integer arrays of length n+11 with new values 0 upwards introduced in order, no three adjacent elements all unequal, and containing the value 6

%C Column 5 of A211849

%H R. H. Hardin, <a href="/A211846/b211846.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....0....1....1....0

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

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

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

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

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

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

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

%e ..5....4....3....5....5....3....4....4....4....4....4....4....4....4....4....4

%e ..5....4....5....5....4....3....4....4....4....5....4....5....4....5....5....4

%e ..6....5....5....6....4....5....5....5....5....5....5....4....5....5....5....5

%e ..6....5....5....5....4....5....5....5....5....6....5....4....5....6....6....5

%e ..3....6....6....6....6....6....6....6....6....6....6....6....6....5....5....6

%K nonn

%O 1,2

%A _R. H. Hardin_ Apr 22 2012