Search: id:A013679
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%I A013679
%S A013679 1,1,1,1,4,2,4,7,1,4,2,3,4,10,1,2,1,1,1,15,1,3,6,1,1,2,1,1,1,2,
%T A013679 2,3,1,3,1,1,5,1,2,2,1,1,6,27,20,3,97,105,1,1,1,1,1,45,2,8,19,1,
%U A013679 4,1,1,3,1,2,1,1,1,5,1,1,2,3,6,1,1,1,2,1,5,1,1,2,9,5,3,2,1,1,1
%N A013679 Continued fraction for zeta(2) = Pi^2/6.
%D A013679 M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, 
               National Bureau of Standards Applied Math. Series 55, 1964 (and various 
               reprintings), p. 811.
%D A013679 David Wells, "The Penguin Dictionary of Curious and Interesting Numbers,
               " Revised Edition, Penguin Books, London, England, 1997, page 23.
%H A013679 T. D. Noe, <a href="b013679.txt">Table of n, a(n) for n = 1..10000</a>
%H A013679 M. Abramowitz and I. A. Stegun, eds., <a href="http://www.nrbook.com/
               abramowitz_and_stegun/">Handbook of Mathematical Functions</a>, National 
               Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 
               [alternative scanned copy].
%H A013679 G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">
               Contfrac</a>
%H A013679 <a href="Sindx_Con.html#confC">Index entries for continued fractions 
               for constants</a>
%e A013679 1.6449340668482264364724151666460251892189...
%e A013679 1.644934066848226436472415166... = 1 + 1/(1 + 1/(1 + 1/(1 + 1/(4 + ...)))) 
               [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Apr 29 2009]
%t A013679 ContinuedFraction[ Pi^2/6, 100]
%o A013679 (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(Pi^2/
               6); for (n=1, 20000, write("b013679.txt", n, " ", x[n])); } [From 
               Harry J. Smith (hjsmithh(AT)sbcglobal.net), Apr 29 2009]
%Y A013679 Cf. A013661.
%Y A013679 Sequence in context: A007005 A066978 A114566 this_sequence A096428 A091007 
               A110638
%Y A013679 Adjacent sequences: A013676 A013677 A013678 this_sequence A013680 A013681 
               A013682
%K A013679 nonn,cofr,nice,easy
%O A013679 1,5
%A A013679 N. J. A. Sloane (njas(AT)research.att.com).

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