Search: id:A091674
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%I A091674
%S A091674 1,1093,795341,481626601,262130079485,132974790903865,64157156143943045,
%T A091674 29808728817823292065,13447118719710220490765,5923562823392985950002825,
%U A091674 2558600264156303883127171925,1087010123072386037371040127025
%N A091674 Numerator Q of probability P=Q(n)/365^(n-1) that two or more out of n 
               people share the same birthday.
%C A091674 A 365 day year and a uniform distribution of birthdays throughout the 
               year is assumed.
%H A091674 P. Le Conte, <a href="http://algo.inria.fr/csolve/coincid.pdf">Coincident 
               Birthdays.</a>
%H A091674 Mathforum at Drexel, <a href="http://mathforum.org/dr.math/faq/faq.birthdayprob.html">
               The Birthday Problem.</a> Ask Dr. Math: FAQ.
%H A091674 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               BirthdayProblem.html">Birthday Problem.</a> Section in World of Mathematics.
%F A091674 Q(n)=(1-product_{i=1..n-1}(1-i/365))*365^(n-1)
%t A091674 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)
%Y A091674 Cf. A014088, A091673 Probabilities for exactly two, A091715 Probabilities 
               for three or more.
%Y A091674 Sequence in context: A077816 A001220 A115192 this_sequence A022197 A124122 
               A163561
%Y A091674 Adjacent sequences: A091671 A091672 A091673 this_sequence A091675 A091676 
               A091677
%K A091674 frac,nonn
%O A091674 2,2
%A A091674 Hugo Pfoertner (hugo(AT)pfoertner.org), Feb 03 2004
%E A091674 More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 05 2004
%E A091674 Broken links corrected by S. R. Finch (Steven.Finch(AT)inria.fr), Jan 
               27 2009

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