The On-Line Encyclopedia of Integer Sequences (OEIS)

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A211557

Number of nonnegative integer arrays of length n+3 with new values 0 upwards introduced in order, and containing the value 3
(history; published version)

#4 by R. H. Hardin at Sun Apr 15 17:58:42 EDT 2012

STATUS

editing

approved

#3 by R. H. Hardin at Sun Apr 15 17:58:37 EDT 2012

LINKS

R. H. Hardin, <a href="/A211557/b211557.txt">Table of n, a(n) for n = 1..210</a>

#2 by R. H. Hardin at Sun Apr 15 17:58:20 EDT 2012

NAME

allocated for R. H. Hardin

Number of nonnegative integer arrays of length n+3 with new values 0 upwards introduced in order, and containing the value 3

DATA

1, 11, 81, 512, 3046, 17866, 106133, 649045, 4125023, 27378716, 190102160, 1380567060, 10472967693, 82843346443, 682012236077, 5832548494812, 51723577104638, 474868072764550, 4506710508270721, 44151990164554541

OFFSET

1,2

COMMENTS

Column 4 of A211561

FORMULA

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

..0....0....0....2....2....1....2....2....1....1....2....2....1....2....2....0

..2....2....1....3....3....2....0....0....2....2....0....0....2....3....0....2

..0....1....2....0....1....0....3....2....2....2....3....0....3....2....3....3

..2....0....1....1....3....1....1....3....3....3....4....1....1....2....2....2

..3....2....3....4....4....0....0....2....0....0....2....0....2....1....3....0

..0....3....0....4....2....3....1....3....4....1....3....3....0....0....2....3

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin Apr 15 2012

STATUS

approved

editing

#1 by R. H. Hardin at Sun Apr 15 11:03:21 EDT 2012

NAME

allocated for R. H. Hardin

KEYWORD

allocated

STATUS

approved