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A209899
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Floor of the expected number of empty cells in a random placement of 2n balls into n cells.
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8
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0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11
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OFFSET
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1,16
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REFERENCES
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W. Feller, An Introduction to Probability Theory and its Applications, 2nd ed, Wiley, New York, 1965, p. 226.
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LINKS
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FORMULA
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a(n) = floor(n*(1-1/n)^(2n)).
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MATHEMATICA
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Table[Floor[n*(1 - 1/n)^(2 n)], {n, 100}] (* T. D. Noe, Mar 15 2012 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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