A211565 Number of nonnegative integer arrays of length n+5 with new values 0 upwards introduced in order, and containing the value n-1.

203, 876, 4012, 17866, 72028, 256565, 810470, 2300949, 5957407, 14253254, 31865787, 67190359, 134640766, 258034213, 475437305, 845940194, 1458930243, 2446555288, 4000200734, 6391955256, 10002207736, 15354704197, 23160598840

Offset

1,1

Comments

Row 6 of A211561.

Links

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

Formula

Empirical: a(n) = (1/3840)*n^10 + (11/2304)*n^9 + (11/288)*n^8 + (1099/5760)*n^7 + (2909/3840)*n^6 + (31511/11520)*n^5 + (3365/384)*n^4 + (66703/2880)*n^3 + (13663/288)*n^2 + (8149/120)*n + 52.

Empirical: a(n) = sum{j in n..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....1....1....0....1....1....1....1....1
..2....2....2....2....2....2....2....2....2....2....1....2....2....2....2....0
..2....1....2....3....2....3....1....0....3....3....2....0....1....3....3....1
..1....3....3....2....1....3....1....3....4....4....3....1....1....4....4....2
..3....4....4....4....3....4....3....4....1....5....0....3....3....1....2....3
..4....3....4....4....1....1....3....0....5....6....4....2....3....5....5....1
..1....1....3....4....2....5....2....3....1....7....5....4....1....0....3....3
..4....3....5....5....1....4....3....2....3....8....0....4....2....3....1....0
..3....2....5....5....4....5....4....5....2....2....6....2....4....4....0....4

Crossrefs

Cf. A211561.

Sequence in context: A346883 A240903 A250751 * A346826 A346859 A272390

Adjacent sequences: A211562 A211563 A211564 * A211566 A211567 A211568

Keyword

nonn

Author

R. H. Hardin, Apr 15 2012

Status

approved