%I A002211 M0118 N0047
%S A002211 2,1,2,5,1,1,2,1,1,3,10,2,1,3,2,24,1,3,2,3,1,1,1,90,2,1,12,1,1,1,1,
%T A002211 5,2,6,1,6,3,1,1,2,5,2,1,2,1,1,4,1,2,2,3,2,1,1,4,1,1,2,5,2,1,1,3,29,
%U A002211 8,3,1,4,3,1,10,50,1,2,2,7,6,2,2,16,4,4,2,2,3,1,1,7,1,5,1,2,1,5,3,1
%N A002211 Continued fraction for Khintchine's constant.
%D A002211 D. Shanks, Further evaluation of Khintchine's constant, Math. Comp., 
               14 (1960), 370-371.
%D A002211 D. Shanks and J. W. Wrench, Jr., Khintchine's constant, Amer. Math. Monthly, 
               66 (1959), 276-279.
%D A002211 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002211 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A002211 J. W. Wrench, Jr. and D. Shanks, Questions concerning Khintchine's constant 
               and the efficient computation of regular continued fractions, Math. 
               Comp., 20 (1966), 444-448.
%H A002211 T. D. Noe, <a href="b002211.txt">Table of n, a(n) for n=1..1000</a>
%H A002211 H. Havermann, <a href="http://chesswanks.com/pxp/cfk.html">Simple Continued 
               Fraction Expansion of Khinchin's Constant</a>
%H A002211 G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">
               Contfrac</a>
%H A002211 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               KhinchinsConstant.html">Link to a section of The World of Mathematics.</
               a>
%H A002211 <a href="Sindx_Con.html#confC">Index entries for continued fractions 
               for constants</a>
%e A002211 2.685452001065306445309714835... = 2 + 1/(1 + 1/(2 + 1/(5 + 1/(1 + ...)))) 
               [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 13 2009]
%t A002211 ContinuedFraction[ Khinchin, 100]
%o A002211 Contribution from Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 15 
               2009: (Start)
%o A002211 (PARI) { default(realprecision,1201); k=2\
%o A002211 .685452001065306445309714835481795693820382293994462953051152345\
%o A002211 5572188595371520028011411749318476979951534659052880900828976777\
%o A002211 1641096305179253348325966838185231542133211949962603932852204481\
%o A002211 9409618068664166428930847788062036073705350103367263357728904990\
%o A002211 4270702723451702625237023545810686318501032374655803775026442524\
%o A002211 8528694682341899491573066189872079941372355000579357366989339508\
%o A002211 7902124464207528974145914769301844905060179349938522547040420337\
%o A002211 7985639831015709022233910000220772509651332460444439191691460859\
%o A002211 6823482128324622829271012690697418234847767545734898625420339266\
%o A002211 2351862086778136650969658314699527183744805401219536666604964826\
%o A002211 9890827548115254721177330319675947383719393578106059230401890711\
%o A002211 3496246737068412217946810740608918276695667117166837405904739368\
%o A002211 8095345048999704717639045134323237715103219651503824698888324870\
%o A002211 9353994696082647818120566349467125784366645797409778483662049777\
%o A002211 7486827656970871631929385128993141995186116737926546205635059513\
%o A002211 8571376169712687229980532767327871051376395637190231452890030581\
%o A002211 3691090479967275757138504356505064159082099962340277905383418098\
%o A002211 5121278529455415101923273972716796875156245586879771758718269365\
%o A002211 9554502513041968186509380313038584352986863635162; x=contfrac(k); for 
               (n=1, 1257, write("b002211.txt", n, " ", x[n])); } (End)
%Y A002211 Cf. A002210.
%Y A002211 Sequence in context: A032259 A109851 A011404 this_sequence A132309 A144224 
               A122881
%Y A002211 Adjacent sequences: A002208 A002209 A002210 this_sequence A002212 A002213 
               A002214
%K A002211 cofr,nonn,nice,easy
%O A002211 1,1
%A A002211 N. J. A. Sloane (njas(AT)research.att.com).
%E A002211 More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 31 2001