A211559 Number of nonnegative integer arrays of length n+5 with new values 0 upwards introduced in order, and containing the value 5

1, 22, 295, 3145, 29503, 256565, 2134122, 17337685, 139635380, 1127444190, 9204978242, 76496257502, 650255333547, 5673699543152, 50929138898237, 470895301126099, 4486844907734841, 44052656933795691, 445462140383086124

Offset

1,2

Comments

Column 6 of A211561

Links

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

Formula

Empirical: a(n) = sum{j in 6..n+5}stirling2(n+5,j)

Example

Some solutions for n=5
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....1....1....1....1....1....1....1....0....0....1....1....1....1....1....0
..2....2....2....2....0....2....2....2....1....0....2....0....0....2....2....1
..3....3....1....1....2....3....3....1....2....1....3....0....2....3....2....2
..4....4....3....3....1....3....4....3....3....2....4....2....3....4....0....3
..3....3....4....4....2....4....0....1....4....3....0....3....0....5....2....0
..2....2....5....5....3....5....5....4....5....4....0....2....3....0....3....4
..3....5....4....4....4....1....2....2....2....1....5....4....4....4....4....5
..5....5....2....3....2....6....5....2....6....3....3....5....5....6....5....4
..4....5....4....4....5....6....1....5....2....5....3....2....2....4....0....2

Crossrefs

Sequence in context: A258461 A320549 A211832 * A333063 A022746 A125457

Adjacent sequences: A211556 A211557 A211558 * A211560 A211561 A211562

Keyword

nonn

Author

R. H. Hardin Apr 15 2012

Status

approved