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A372480
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Positions of local maxima of the probability that there will be a survivor in "group Russian roulette" as a function of initial group size.
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4
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OFFSET
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1,1
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COMMENTS
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For initial group size N -> oo, the probability p that one person survives approaches a function 0.477449... <= p(N) <= 0.515428... with period 1 on a logarithmic scale.
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REFERENCES
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Peter Winkler, Mathematical Puzzles: A Connoisseur's Collection, AK Peters/CRC Recreational Mathematics Series, 2005.
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LINKS
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FORMULA
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Limit_{n->oo} a(n+1)/a(n) = e.
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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