Search: id:A001203
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%I A001203 M2646 N1054
%S A001203 3,7,15,1,292,1,1,1,2,1,3,1,14,2,1,1,2,2,2,2,1,84,2,1,1,15,3,13,1,4,2,
               6,
%T A001203 6,99,1,2,2,6,3,5,1,1,6,8,1,7,1,2,3,7,1,2,1,1,12,1,1,1,3,1,1,8,1,1,2,1,
%U A001203 6,1,1,5,2,2,3,1,2,4,4,16,1,161,45,1,22,1,2,2,1,4,1,2,24,1,2,1,3,1,2,1
%N A001203 Continued fraction for Pi.
%D A001203 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A001203 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A001203 P. Beckmann, "A History of Pi".
%D A001203 C. Brezinski, History of Continued Fractions ans Pade' Approximants, 
               Springer-Verlag, 1991; pp. 151-152.
%D A001203 K. Y. Choong, D. E. Daykin and C. R. Rathbone, Regular continued fractions 
               for pi and gamma, Math. Comp., 25 (1971), 403.
%D A001203 J. R. Goldman, The Queen of Mathematics, 1998, p. 50.
%D A001203 R. S. Lehman, A Study of Regular Continued Fractions. Report 1066, Ballistic 
               Research Laboratories, Aberdeen Proving Ground, Maryland, Feb 1959.
%D A001203 G. Lochs, Die ersten 968 Kettenbruchnenner von Pi. Monatsh. Math. 67 
               1963 311-316.
%D A001203 C. D. Olds, Continued Fractions, Random House, NY, 1963; front cover 
               of paperback edition.
%H A001203 N. J. A. Sloane, <a href="b001203.txt">Table of n, a(n) for n = 1..20000</
               a> [from the Plouffe web page]
%H A001203 <a href="Sindx_Ph.html#Pi314">Index entries for sequences related to 
               the number Pi</a>
%H A001203 E. Bombieri and A. J. van der Poorten, <a href="http://www-centre.mpce.mq.edu.au/
               alfpapers/a113.pdf">Continued fractions of algebraic numbers</a>
%H A001203 Exploratorium, <a href="http://chesswanks.com/seq/cfpi/">180 million 
               terms of the simple CFE of pi</a>
%H A001203 B. Gourevitch, <a href="http://www.pi314.net">L'univers de Pi</a>
%H A001203 H. Havermann, <a href="http://chesswanks.com/pxp/cfpi.html">Simple Continued 
               Fraction for Pi</a>
%H A001203 S. Plouffe, <a href="http://pi.lacim.uqam.ca/piDATA/">20 megaterms of 
               this sequence as computed by Hans Havermann</a>
%H A001203 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PiContinuedFraction.html">Link to a section of The World of Mathematics 
               (1).</a>
%H A001203 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               Pi.html">Link to a section of The World of Mathematics (2).</a>
%H A001203 G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">
               Contfrac</a>
%H A001203 <a href="Sindx_Con.html#confC">Index entries for continued fractions 
               for constants</a>
%H A001203 James Barton, <a href="http://www.virtuescience.com/pi-in-other-bases.html">
               Simple Continued Fraction Expansion of Pi</a> [From Lekraj Beedassy 
               (blekraj(AT)yahoo.com), Oct 27 2008]
%e A001203 Pi = 3.1415926535897932384... = 3 + 1/(7 + 1/(15 + 1/(1 + 1/(292 + ...)))) 
               [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Apr 07 2009]
%p A001203 cfrac (Pi,70,'quotients'); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Feb 10 2007
%t A001203 ContinuedFraction[Pi, 98]
%o A001203 (PARI) contfrac(Pi) (contfracpnqn(%) is also useful!)
%o A001203 (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(Pi); 
               for (n=1, 20000, write("b001203.txt", n, " ", x[n])); } [From Harry 
               J. Smith (hjsmithh(AT)sbcglobal.net), Apr 14 2009]
%Y A001203 Cf. A000796 for decimal expansion. See A033089 for records.
%Y A001203 Cf. A097545, A097546.
%Y A001203 Sequence in context: A146155 A106363 A128658 this_sequence A154883 A109732 
               A114396
%Y A001203 Adjacent sequences: A001200 A001201 A001202 this_sequence A001204 A001205 
               A001206
%K A001203 nonn,nice,cofr
%O A001203 1,1
%A A001203 N. J. A. Sloane (njas(AT)research.att.com).

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