Search: id:A093602
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%I A093602
%S A093602 1,8,1,3,7,9,9,3,6,4,2,3,4,2,1,7,8,5,0,5,9,4,0,7,8,2,5,7,6,4,2,1,5,5,7,
%T A093602 3,2,2,8,4,0,6,6,2,4,8,0,9,2,7,4,0,5,7,5,5,6,9,8,8,4,9,3,5,3,8,8,1,2,3,
%U A093602 1,8,1,1,2,6,3,5,3,8,8,3,6,8,4,1,2,4,9,8,8,2,1,2,0,6,0,1,6,8,8,5,6,2,2
%N A093602 Decimal expansion of pi/sqrt(3)=sqrt{2*zeta(2)}.
%C A093602 Continued fraction expansion is A132116. - Jonathan Vos Post (jvospost3(AT)gmail.com), 
               Aug 10 2007
%C A093602 From Dolbeault et al.'s abstract, where this is referred to as "the semiclassical 
               constant" following remark 2, p. 2: "Following Eden and Foias we 
               obtain a matrix version of a generalised Sobolev inequality in one-dimension. 
               This allow us to improve on the known estimates of best constants 
               in Lieb-Thirring inequalities for the sum of the negative eigenvalues 
               for multi-dimensional Schroedinger operators." - Jonathan Vos Post 
               (jvospost3(AT)gmail.com), Aug 10 2007
%H A093602 Harry J. Smith, <a href="b093602.txt">Table of n, a(n) for n=1,...,20000</
               a>
%H A093602 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               No-Three-in-a-Line-Problem.html">No-Three-in-a-Line-Problem</a>
%H A093602 Jean Dolbeault, Ari Laptev and Michael Loss, <a href="http://arXiv.org/
               pdf/0708.1165">Lieb-Thirring inequalities with improved constants</
               a>
%e A093602 pi/sqrt(3)=1.8137993642342178505940782576421557322840662480927405755...
%o A093602 (PARI) { default(realprecision, 20080); x=Pi*sqrt(3)/3; for (n=1, 20000, 
               d=floor(x); x=(x-d)*10; write("b093602.txt", n, " ", d)); } [From 
               Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 19 2009]
%Y A093602 Cf. A132116.
%Y A093602 Sequence in context: A011391 A092515 A127454 this_sequence A011469 A140457 
               A110194
%Y A093602 Adjacent sequences: A093599 A093600 A093601 this_sequence A093603 A093604 
               A093605
%K A093602 easy,nonn,cons
%O A093602 1,2
%A A093602 Lekraj Beedassy (blekraj(AT)yahoo.com), May 14 2004

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