A211558 - OEIS

%I #9 Aug 25 2024 18:48:50

%S 1,16,162,1345,10096,72028,503295,3513522,24846186,179710415,

%T 1338211110,10301168792,82149009153,679213429092,5821288827862,

%U 51678344988737,474686563694500,4505982729646896,44149073821979791,445947141166581374,4638543419725492302,49631058873617505287

%N Number of nonnegative integer arrays of length n+4 with new values 0 upwards introduced in order, and containing the value 4.

%H R. H. Hardin, <a href="/A211558/b211558.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = Sum_{j=5..n+4} Stirling2(n+4,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....0....1....1....1....1....1....1....1....1....1....1....0....1

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

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

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

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

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

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

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

%Y Column 5 of A211561.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 15 2012