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A211559
Number of nonnegative integer arrays of length n+5 with new values 0 upwards introduced in order, and containing the value 5
1
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
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
KEYWORD
nonn
AUTHOR
R. H. Hardin Apr 15 2012
STATUS
approved