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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
1

%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