A211566 Number of nonnegative integer arrays of length n+6 with new values 0 upwards introduced in order, and containing the value n-1

877, 4139, 20891, 106133, 503295, 2134122, 8016373, 26869727, 81381744, 225620777, 579251337, 1390969632, 3150473373, 6777961885, 13933402774, 27505504247, 52363544091, 96485126179, 172610924931, 300625072411

Offset

1,1

Comments

Row 7 of A211561

Links

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

Formula

Empirical: a(n) = (1/46080)*n^12 + (13/23040)*n^11 + (33/5120)*n^10 + (9241/207360)*n^9 + (10423/46080)*n^8 + (478007/483840)*n^7 + (61073/15360)*n^6 + (197717/13824)*n^5 + (504739/11520)*n^4 + (1139725/10368)*n^3 + (102469/480)*n^2 + (361919/1260)*n + 203

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

Crossrefs

Sequence in context: A209743 A346900 A346884 * A346827 A346860 A320558

Adjacent sequences: A211563 A211564 A211565 * A211567 A211568 A211569

Keyword

nonn

Author

R. H. Hardin Apr 15 2012

Status

approved