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Search: id:A091674
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| A091674 |
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Numerator Q of probability P=Q(n)/365^(n-1) that two or more out of n people share the same birthday. |
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+0
3
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| 1, 1093, 795341, 481626601, 262130079485, 132974790903865, 64157156143943045, 29808728817823292065, 13447118719710220490765, 5923562823392985950002825, 2558600264156303883127171925, 1087010123072386037371040127025
(list; graph; listen)
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OFFSET
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2,2
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COMMENT
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A 365 day year and a uniform distribution of birthdays throughout the year is assumed.
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LINKS
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P. Le Conte, Coincident Birthdays.
Mathforum at Drexel, The Birthday Problem. Ask Dr. Math: FAQ.
Eric Weisstein's World of Mathematics, Birthday Problem. Section in World of Mathematics.
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FORMULA
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Q(n)=(1-product_{i=1..n-1}(1-i/365))*365^(n-1)
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MATHEMATICA
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Q[n_] := (1 - Product[(1 - i/365), {i, 1, n - 1}])365^(n - 1); Table[ Q[n], {n, 2, 13}] (from Robert G. Wilson v Feb 05 2004)
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CROSSREFS
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Cf. A014088, A091673 Probabilities for exactly two, A091715 Probabilities for three or more.
Sequence in context: A077816 A001220 A115192 this_sequence A022197 A124122 A163561
Adjacent sequences: A091671 A091672 A091673 this_sequence A091675 A091676 A091677
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KEYWORD
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frac,nonn
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AUTHOR
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Hugo Pfoertner (hugo(AT)pfoertner.org), Feb 03 2004
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 05 2004
Broken links corrected by S. R. Finch (Steven.Finch(AT)inria.fr), Jan 27 2009
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