A211560 - OEIS

%I #4 Apr 15 2012 18:01:12

%S 1,29,499,6676,77078,810470,8016373,76199007,706750917,6470051684,

%T 58990507604,539568082508,4980617941373,46623060002853,

%U 444309621663295,4323539568389616,43053687075812286,439371904347001594

%N Number of nonnegative integer arrays of length n+6 with new values 0 upwards introduced in order, and containing the value 6

%C Column 7 of A211561

%H R. H. Hardin, <a href="/A211560/b211560.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = sum{j in 7..n+6}stirling2(n+6,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....1....1....1....1....1....1....1....1

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

%e ..3....3....3....3....3....0....3....3....0....0....3....3....2....3....3....0

%e ..4....4....1....4....4....3....4....4....3....0....4....4....2....2....4....3

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

%e ..0....2....2....1....5....5....1....5....4....2....0....4....4....3....4....4

%e ..4....4....5....6....1....6....4....6....1....4....0....6....1....4....3....3

%e ..2....5....6....6....6....1....5....6....1....3....6....2....5....5....5....5

%e ..6....0....1....6....3....5....3....3....5....5....6....1....1....6....3....6

%e ..3....6....6....6....7....6....6....1....6....6....7....6....6....3....6....5

%K nonn

%O 1,2

%A _R. H. Hardin_ Apr 15 2012