Search: id:A059444
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%I A059444
%S A059444 2,0,6,6,3,6,5,6,7,7,0,6,1,2,4,6,4,6,9,2,3,4,6,9,5,9,4,2,1,4,9,9,2,6,3,
%T A059444 2,4,7,2,2,7,6,0,9,5,8,4,9,5,6,5,4,2,2,5,7,7,8,3,2,5,6,2,6,8,9,8,9,7,8,
%U A059444 9,6,4,2,5,6,7,0,8,5,1,6,1,8,1,2,6,0,1,8,1,2,2,7,7,3,3,1,4,1
%N A059444 Decimal expansion of square root of (Pi * e / 2).
%C A059444 Appears as constant factor in Proposition 1.12, p. 5, of Feige et al. 
               (2007). - Jonathan Vos Post (jvospost3(AT)gmail.com), Jun 18 2007
%D A059444 C. A. Pickover, "Wonders of Numbers, Adventures in Mathematics, Mind 
               and Meaning," Oxford University Press, Oxford and NY, 2001, page 
               68.
%H A059444 Harry J. Smith, <a href="b059444.txt">Table of n, a(n) for n=1,...,20000</
               a>
%H A059444 C. A. Pickover, "Wonders of Numbers, Adventures in Mathematics, Mind 
               and Meaning," <a href="http://www.emis.de/cgi-bin/zmen/ZMATH/en/quick.html?first=1&maxdocs=3&type=html&an\
               =0983.00008&format=complete">Zentralblatt review</a>
%H A059444 Uri Feige, Guy Kindler, Ryan O Donnell, <a href="http://eccc.hpi-web.de/
               eccc-reports/2007/TR07-043/Paper.pdf">Understanding Parallel Repetition 
               Requires Understanding Foams</a>, Electronic Colloquium on Computational 
               Complexity, Report TR07-043 (ISSN 1433-8092, 14th Year, 43rd Report), 
               7 May 2007.
%F A059444 Sqrt(Pi*e/2) = A + B with A = 1 + 1/(1*3) + 1/(1*3*5) + 1/(1*3*5*7) + 
               1/(1*3*5*7*9) + . . . = 1.410686134. . . (see A060196) and B = 1/
               (1 + 1/(1 + 2/(1 + 3/(1 + 4/(1 + 5/(1 + ...)))))) = 0.65567954241. 
               . .- (S. Ramanujan)
%e A059444 2.066365677...
%t A059444 RealDigits[N[Sqrt[ \[Pi]*\[ExponentialE]/2], 100]][[1]]
%o A059444 (PARI) { default(realprecision, 20080); x=sqrt(Pi*exp(1)/2); for (n=1, 
               20000, d=floor(x); x=(x-d)*10; write("b059444.txt", n, " ", d)); 
               } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 27 2009]
%Y A059444 Cf. A059445.
%Y A059444 Sequence in context: A021488 A053206 A106848 this_sequence A057720 A087996 
               A086777
%Y A059444 Adjacent sequences: A059441 A059442 A059443 this_sequence A059445 A059446 
               A059447
%K A059444 nonn,cons
%O A059444 1,1
%A A059444 Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 01 2001

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