A211560 Number of nonnegative integer arrays of length n+6 with new values 0 upwards introduced in order, and containing the value 6

1, 29, 499, 6676, 77078, 810470, 8016373, 76199007, 706750917, 6470051684, 58990507604, 539568082508, 4980617941373, 46623060002853, 444309621663295, 4323539568389616, 43053687075812286, 439371904347001594

Offset

1,2

Comments

Column 7 of A211561

Links

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

Formula

Empirical: a(n) = sum{j in 7..n+6}stirling2(n+6,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....1....1....1....1....1....1....1....1
..2....2....2....2....2....2....2....2....2....2....2....2....1....2....2....2
..3....3....3....3....3....0....3....3....0....0....3....3....2....3....3....0
..4....4....1....4....4....3....4....4....3....0....4....4....2....2....4....3
..5....0....4....5....3....4....3....3....3....3....5....5....3....0....0....1
..0....2....2....1....5....5....1....5....4....2....0....4....4....3....4....4
..4....4....5....6....1....6....4....6....1....4....0....6....1....4....3....3
..2....5....6....6....6....1....5....6....1....3....6....2....5....5....5....5
..6....0....1....6....3....5....3....3....5....5....6....1....1....6....3....6
..3....6....6....6....7....6....6....1....6....6....7....6....6....3....6....5

Crossrefs

Sequence in context: A211833 A022753 A225969 * A333064 A228217 A305315

Adjacent sequences: A211557 A211558 A211559 * A211561 A211562 A211563

Keyword

nonn

Author

R. H. Hardin Apr 15 2012

Status

approved