Search: id:A068996
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%I A068996
%S A068996 6,3,2,1,2,0,5,5,8,8,2,8,5,5,7,6,7,8,4,0,4,4,7,6,2,2,9,8,3,8,5,3,9,
%T A068996 1,3,2,5,5,4,1,8,8,8,6,8,9,6,8,2,3,2,1,6,5,4,9,2,1,6,3,1,9,8,3,0,2,
%U A068996 5,3,8,5,0,4,2,5,5,1,0,0,1,9,6,6,4,2,8,5,2,7,2,5,6,5,4,0,8,0,3,5,6
%N A068996 Decimal expansion of 1 - 1/e.
%C A068996 From the "derangements" problem: this is the probability that if a large 
               number of people are given their hats at random, at least one person 
               gets their own hat.
%C A068996 1-1/e is the limit to which (1 - !n/n!) {= 1 - A000166(n)/A000142(n) 
               = A002467(n)/A000142(n)} converges as n tends to infinity. - Lekraj 
               Beedassy (blekraj(AT)yahoo.com), Apr 14 2005
%D A068996 S. R. Finch, Mathematical Constants, Cambridge, 2003, Section 1.3.
%D A068996 A. Hald, A History of Probability and Statistics and Their Applications 
               before 1750, Wiley, NY, 1990 (Chapter 19).
%D A068996 J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 
               65.
%H A068996 B. Conrey & T. Davis, <a href="http://www.geometer.org/mathcircles/derange.pdf">
               Derangements</a>
%H A068996 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               e.html">e</a>
%e A068996 .6321205588285576784044762...
%Y A068996 Cf. A000166, A068985.
%Y A068996 Sequence in context: A122178 A126445 A033326 this_sequence A068924 A106224 
               A129203
%Y A068996 Adjacent sequences: A068993 A068994 A068995 this_sequence A068997 A068998 
               A068999
%K A068996 nonn,cons
%O A068996 0,1
%A A068996 N. J. A. Sloane (njas(AT)research.att.com), Apr 08 2002

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