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Search: id:A093602
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| A093602 |
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Decimal expansion of pi/sqrt(3)=sqrt{2*zeta(2)}. |
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+0
4
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| 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, 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, 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
(list; cons; graph; listen)
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OFFSET
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1,2
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COMMENT
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Continued fraction expansion is A132116. - Jonathan Vos Post (jvospost3(AT)gmail.com), Aug 10 2007
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
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,20000
Eric Weisstein's World of Mathematics, No-Three-in-a-Line-Problem
Jean Dolbeault, Ari Laptev and Michael Loss, Lieb-Thirring inequalities with improved constants
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EXAMPLE
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pi/sqrt(3)=1.8137993642342178505940782576421557322840662480927405755...
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PROGRAM
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(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]
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CROSSREFS
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Cf. A132116.
Sequence in context: A011391 A092515 A127454 this_sequence A011469 A140457 A110194
Adjacent sequences: A093599 A093600 A093601 this_sequence A093603 A093604 A093605
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KEYWORD
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easy,nonn,cons
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AUTHOR
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Lekraj Beedassy (blekraj(AT)yahoo.com), May 14 2004
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