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%I #5 Apr 15 2012 18:00:18
%S 1,22,295,3145,29503,256565,2134122,17337685,139635380,1127444190,
%T 9204978242,76496257502,650255333547,5673699543152,50929138898237,
%U 470895301126099,4486844907734841,44052656933795691,445462140383086124
%N Number of nonnegative integer arrays of length n+5 with new values 0 upwards introduced in order, and containing the value 5
%C Column 6 of A211561
%H R. H. Hardin, <a href="/A211559/b211559.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = sum{j in 6..n+5}stirling2(n+5,j)
%e Some solutions for n=5
%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....0....0....1....1....1....1....1....0
%e ..2....2....2....2....0....2....2....2....1....0....2....0....0....2....2....1
%e ..3....3....1....1....2....3....3....1....2....1....3....0....2....3....2....2
%e ..4....4....3....3....1....3....4....3....3....2....4....2....3....4....0....3
%e ..3....3....4....4....2....4....0....1....4....3....0....3....0....5....2....0
%e ..2....2....5....5....3....5....5....4....5....4....0....2....3....0....3....4
%e ..3....5....4....4....4....1....2....2....2....1....5....4....4....4....4....5
%e ..5....5....2....3....2....6....5....2....6....3....3....5....5....6....5....4
%e ..4....5....4....4....5....6....1....5....2....5....3....2....2....4....0....2
%K nonn
%O 1,2
%A _R. H. Hardin_ Apr 15 2012
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