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A211558 Number of nonnegative integer arrays of length n+4 with new values 0 upwards introduced in order, and containing the value 4 1
1, 16, 162, 1345, 10096, 72028, 503295, 3513522, 24846186, 179710415, 1338211110, 10301168792, 82149009153, 679213429092, 5821288827862, 51678344988737, 474686563694500, 4505982729646896, 44149073821979791, 445947141166581374 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 5 of A211561

LINKS

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

FORMULA

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

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

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

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

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

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

..0....1....0....1....4....4....3....1....2....4....5....0....4....4....4....0

..4....0....4....1....5....4....5....2....0....5....4....4....5....5....0....4

CROSSREFS

Sequence in context: A238533 A085538 A259547 * A333062 A208311 A232333

Adjacent sequences:  A211555 A211556 A211557 * A211559 A211560 A211561

KEYWORD

nonn

AUTHOR

R. H. Hardin Apr 15 2012

STATUS

approved

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Last modified October 28 11:38 EDT 2021. Contains 348329 sequences. (Running on oeis4.)