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Number of nonnegative integer arrays of length n+8 with new values 0 upwards introduced in order, no three adjacent elements equal, and containing the value 8
1

%I #4 Apr 21 2012 19:08:53

%S 1,46,1202,23596,388512,5684153,76514893,969656615,11756827378,

%T 138019379660,1583273543771,17878159956894,199924036853766,

%U 2225369295171276,24765622932118451,276618063019689289

%N Number of nonnegative integer arrays of length n+8 with new values 0 upwards introduced in order, no three adjacent elements equal, and containing the value 8

%C Column 7 of A211836

%H R. H. Hardin, <a href="/A211835/b211835.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....0....1....1....1....1....1....1....1....1....1....1....1....1....1....1

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

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

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

%e ..1....4....4....4....4....2....5....5....5....5....4....5....4....5....5....2

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

%e ..6....5....6....6....6....6....0....6....4....7....5....7....2....1....6....5

%e ..7....6....7....7....7....7....7....4....4....6....6....4....6....0....7....6

%e ..8....7....8....8....2....8....3....7....7....3....7....4....7....7....8....7

%e ..3....8....5....6....8....1....8....8....8....8....8....8....8....8....1....8

%K nonn

%O 1,2

%A _R. H. Hardin_ Apr 21 2012