Search: id:A073010
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%I A073010
%S A073010 6,0,4,5,9,9,7,8,8,0,7,8,0,7,2,6,1,6,8,6,4,6,9,2,7,5,2,5,4,7,3,8,5,2,4,
%T A073010 4,0,9,4,6,8,8,7,4,9,3,6,4,2,4,6,8,5,8,5,2,3,2,9,4,9,7,8,4,6,2,7,0,7,7,
%U A073010 2,7,0,4,2,1,1,7,9,6,1,2,2,8,0,4,1,6,6,2,7,3,7,3,5,3,3,8,9,6,1,8,7,4,0
%N A073010 Decimal expansion of sum(1/(n*binomial(2*n,n)), n=1..infinity).
%C A073010 This appears to be pi/sqrt(27). See A111510. - Marco Matosic (marcomatosic(AT)hotmail.com), 
               Feb 27 2008
%C A073010 This is Pi*sqrt(3)/9 = A019676*A002194, see eq (12) in D. H. Lehmer, 
               Am. Math. Monthly 92 (1985) 449. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Mar 04 2009]
%H A073010 Simon Plouffe, <a href="http://www.worldwideschool.org/library/books/
               sci/math/MiscellaneousMathematicalConstants/chap86.html">Sum(1/(n*binomial(2*n,
               n)), n=1..infinity)</a>
%H A073010 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               CentralBinomialCoefficient.html">Central Binomial Coefficient</a>
%e A073010 0.60459978807807261686469275254738524409468...
%t A073010 RealDigits[ N [Sum[1/(n*Binomial[2n, n]), {n, 1, Infinity}], 110]] [[1]]
%Y A073010 Sequence in context: A019766 A094830 A021947 this_sequence A100120 A132709 
               A113024
%Y A073010 Adjacent sequences: A073007 A073008 A073009 this_sequence A073011 A073012 
               A073013
%K A073010 cons,nonn
%O A073010 0,1
%A A073010 Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 03 2002

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