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A211558
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Number of nonnegative integer arrays of length n+4 with new values 0 upwards introduced in order, and containing the value 4.
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1
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1, 16, 162, 1345, 10096, 72028, 503295, 3513522, 24846186, 179710415, 1338211110, 10301168792, 82149009153, 679213429092, 5821288827862, 51678344988737, 474686563694500, 4505982729646896, 44149073821979791, 445947141166581374, 4638543419725492302, 49631058873617505287
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OFFSET
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1,2
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LINKS
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FORMULA
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Empirical: a(n) = Sum_{j=5..n+4} Stirling2(n+4,j).
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EXAMPLE
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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
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CROSSREFS
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KEYWORD
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nonn,changed
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AUTHOR
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STATUS
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approved
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