Search: id:A002485
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%I A002485 M3097 N1255
%S A002485 0,1,3,22,333,355,103993,104348,208341,312689,833719,1146408,4272943,5419351,
               80143857,
%T A002485 165707065,245850922,411557987,1068966896,2549491779,6167950454,14885392687,
               21053343141,
%U A002485 1783366216531,3587785776203,5371151992734,8958937768937,139755218526789,
               428224593349304,5706674932067741,6134899525417045
%N A002485 Numerators of convergents to Pi.
%D A002485 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A002485 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002485 P. Beckmann, A History of Pi. Golem Press, Boulder, CO, 2nd ed., 1971, 
               p. 171 (but beware errors).
%D A002485 E. B. Burger, Diophantine Olympics ..., Amer. Math. Monthly, 107 (Nov. 
               2000), 822-829.
%D A002485 CRC Standard Mathematical Tables and Formulae, 30th ed. 1996, p. 88.
%D A002485 P. Finsler, Ueber die Faktorenzerlegung natuerlicher Zahlen, Elemente 
               der Mathematik, 2 (1947), 1-11, see p. 7.
%D A002485 K. H. Rosen et al., eds., Handbook of Discrete and Combinatorial Mathematics, 
               CRC Press, 2000; p. 293.
%H A002485 T. D. Noe, <a href="b002485.txt">Table of n, a(n) for n=0..201</a>
%H A002485 <a href="Sindx_Ph.html#Pi314">Index entries for sequences related to 
               the number Pi</a>
%H A002485 Marc Daumas, <a href="http://www.ipsl.jussieu.fr/~omamce/SP/Oct00/Marc_Daumas.pdf">
               Des implantations differentes ...</a>, see p. 8.
%H A002485 G. P. Michon, <a href="http://home.att.net/~numericana/answer/fractions.htm">
               Final Answers</a>
%H A002485 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               Pi.html">Link to a section of The World of Mathematics.</a>
%H A002485 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PiContinuedFraction.html">Link to a section of The World of Mathematics.</
               a>
%H A002485 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PiApproximations.html">Pi Approximations</a>
%e A002485 The convergents are 0, 1, 3, 22/7, 333/106, 355/113, 103993/33102, ... 
               = A002485/A002486
%p A002485 Digits := 60: E := Pi; convert(evalf(E),confrac,50,'cvgts'): cvgts;
%Y A002485 Cf. A002486, A046947, A072398/A072399.
%Y A002485 Sequence in context: A161967 A102223 A046947 this_sequence A099750 A156512 
               A119770
%Y A002485 Adjacent sequences: A002482 A002483 A002484 this_sequence A002486 A002487 
               A002488
%K A002485 nonn,easy,nice,frac
%O A002485 0,3
%A A002485 N. J. A. Sloane (njas(AT)research.att.com).
%E A002485 Extended and corrected by David Sloan, Sep 23, 2002.

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