A211558 Number of nonnegative integer arrays of length n+4 with new values 0 upwards introduced in order, and containing the value 4.

1, 16, 162, 1345, 10096, 72028, 503295, 3513522, 24846186, 179710415, 1338211110, 10301168792, 82149009153, 679213429092, 5821288827862, 51678344988737, 474686563694500, 4505982729646896, 44149073821979791, 445947141166581374, 4638543419725492302, 49631058873617505287

Offset: 1

Author

R. H. Hardin, Apr 15 2012

Keywords

• nonn

Examples

			Some solutions for n=5:
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....1....1....0....1....1....1....1....1....1....1....1....1....1....0....1
..2....1....1....1....0....2....2....1....2....1....2....1....2....2....1....1
..0....2....2....2....2....3....3....2....3....2....3....2....0....3....2....1
..3....0....3....1....2....0....0....3....1....0....2....2....3....2....1....2
..0....3....3....3....3....4....4....4....4....2....4....1....3....3....3....3
..1....4....3....4....4....2....1....1....0....3....1....3....0....0....0....2
..0....1....0....1....4....4....3....1....2....4....5....0....4....4....4....0
..4....0....4....1....5....4....5....2....0....5....4....4....5....5....0....4
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..210

Crossrefs

Column 5 of A211561.

Formula

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