Search: id:A002163
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%I A002163 M0293 N0105
%S A002163 2,2,3,6,0,6,7,9,7,7,4,9,9,7,8,9,6,9,6,4,0,9,1,7,3,6,6,8,7,3,1,2,7,
%T A002163 6,2,3,5,4,4,0,6,1,8,3,5,9,6,1,1,5,2,5,7,2,4,2,7,0,8,9,7,2,4,5,4,1,
%U A002163 0,5,2,0,9,2,5,6,3,7,8,0,4,8,9,9,4,1,4,4,1,4,4,0,8,3,7,8,7,8,2,2,7
%N A002163 Decimal expansion of square root of 5.
%C A002163 Also the limiting ratio of Lucas[n]/Fibonacci[n]. - Alexander Adamchuk 
               (alex(AT)kolmogorov.com), Oct 10 2007
%C A002163 Continued fraction expansion is 2 followed by {4} repeated. [From Harry 
               J. Smith (hjsmithh(AT)sbcglobal.net), Jun 01 2009]
%D A002163 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A002163 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002163 M. F. Jones, 22900D approximations to the square roots of the primes 
               less than 100, Math. Comp., 22 (1968), 234-235.
%D A002163 W. E. Mansell, Tables of Natural and Common Logarithms. Royal Society 
               Mathematical Tables, Vol. 8, Cambridge Univ. Press, 1964, p. XVIII.
%D A002163 C. Pickover, Wonders of Numbers, Oxford University Press, NY, 2001, p. 
               106.
%H A002163 Harry J. Smith, <a href="b002163.txt">Table of n, a(n) for n=1,...,20000</
               a>
%H A002163 D. Merrill, <a href="http://www.netcom.com/~merrills/sqrt51000000.txt">
               First million digits of square root of 5</a>
%H A002163 R. Nemiroff and J. Bonnell, <a href="http://antwrp.gsfc.nasa.gov/htmltest/
               gifcity/sqrt5.1mil">The first 1 million digits of the square root 
               of 5</a>
%H A002163 R. Nemiroff and J. Bonnell, Plouffe's Inverter, <a href="http://pi.lacim.uqam.ca/
               piDATA/sqrt5.txt">The first 1 million digits of the square root of 
               5</a>
%H A002163 C. A. Pickover, "Wonders of Numbers, Adventures in Mathematics, Mind 
               and Meaning," <a href="http://www.emis.de/cgi-bin/zmen/ZMATH/en/quick.html?first=1&maxdocs=3&type=html&an\
               =0983.00008&format=complete">Zentralblatt review</a>
%F A002163 e^(i*Pi)+ 2*Phi = sqrt(5).
%e A002163 2.236067977499789696409173668731276235440618359611525724270897245410520... 
               [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 01 2009]
%o A002163 (PARI) { default(realprecision, 20080); x=sqrt(5); for (n=1, 20000, d=floor(x); 
               x=(x-d)*10; write("b002163.txt", n, " ", d)); } [From Harry J. Smith 
               (hjsmithh(AT)sbcglobal.net), Jun 01 2009]
%Y A002163 Cf. A000032, A000045.
%Y A002163 Cf. A040002 Continued fraction. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), 
               Jun 01 2009]
%Y A002163 Sequence in context: A080669 A099205 A051005 this_sequence A093422 A083506 
               A076333
%Y A002163 Adjacent sequences: A002160 A002161 A002162 this_sequence A002164 A002165 
               A002166
%K A002163 nonn,cons
%O A002163 1,1
%A A002163 N. J. A. Sloane (njas(AT)research.att.com).
%E A002163 Sequence corrected by Paul Zimmermann Mar 15, 1996. Additional comments 
               from Jason Earls (zevi_35711(AT)yahoo.com), Mar 26 2001.

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