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Number of nonnegative integer arrays of length n+9 with new values 0 upwards introduced in order, no three adjacent elements all unequal, and containing the value 5
1

%I #4 Apr 22 2012 08:00:15

%S 1,11,82,494,2619,12713,57913,251481,1052383,4277451,16986189,

%T 66202629,254144210,963755936,3618833405,13481785125,49915401836,

%U 183932105682,675399816338,2474127510634,9050295230250,33087054691466,120988345056414

%N Number of nonnegative integer arrays of length n+9 with new values 0 upwards introduced in order, no three adjacent elements all unequal, and containing the value 5

%C Column 4 of A211849

%H R. H. Hardin, <a href="/A211845/b211845.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 ..1....1....1....1....0....1....1....1....1....1....1....1....1....1....1....1

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Apr 22 2012