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Search: id:A088141
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A088141 a(n) = the largest k such that, if k samples are taken from a group of n items, with replacement, a duplication is unlikely (p<1/2). +0
4
1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11 (list; graph; listen)
OFFSET

2,2

COMMENT

Related to the birthday paradox. This is essentially the same as A033810.

EXAMPLE

a(365)=22 because if 22 people are sampled, it is unlikely that two have the same birthday; but if 23 are sampled, it is likely.

CROSSREFS

Cf. A033810, A072829.

Sequence in context: A089051 A108229 A023966 this_sequence A083291 A003056 A117707

Adjacent sequences: A088138 A088139 A088140 this_sequence A088142 A088143 A088144

KEYWORD

nonn

AUTHOR

Artemario Tadeu Medeiros da Silva (artemario(AT)uol.com.br), Nov 06 2003

EXTENSIONS

Edited by Don Reble (djr(AT)nk.ca), Nov 07 2005

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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