%I A001204 M4322 N1811
%S A001204 7,2,1,1,3,18,5,1,1,6,30,8,1,1,9,42,11,1,1,12,54,14,1,1,15,66,17,1,1,
%T A001204 18,78,20,1,1,21,90,23,1,1,24,102,26,1,1,27,114,29,1,1,30,126,32,1,1,
%U A001204 33,138,35,1,1,36,150,38,1,1,39,162,41,1,1,42,174,44,1,1,45,186,47,1,1
%N A001204 Continued fraction for e^2.
%D A001204 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A001204 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A001204 O. Perron, Die Lehre von den Kettenbr\"{u}chen, 2nd ed., Teubner, Leipzig, 
               1929, p. 138.
%H A001204 Harry J. Smith, <a href="b001204.txt">Table of n, a(n) for n=0,...,20000</
               a>
%H A001204 G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">
               Contfrac</a>
%H A001204 <a href="Sindx_Con.html#confC">Index entries for continued fractions 
               for constants</a>
%H A001204 K. Matthews, <a href="http://www.numbertheory.org/php/davison.html">Finding 
               the continued fraction of e^(l/m)</a>
%F A001204 G.f.: (x^10-x^8-x^7+x^6+4x^5+3x^4+x^3+x^2+2x+7)/(x^5-1)^2. - Ralf Stephan 
               (ralf(AT)ark.in-berlin.de), Mar 23 2003
%F A001204 For n>0, a(5n)=12n+6, a(5n+1)=3n+2, a(5n+2)=a(5n+3)=1 and a(5n+4)=3n+3. 
               - Dean Hickerson (dean.hickerson(AT)yahoo.com), Mar 25 2003
%e A001204 7.389056098930650227230427460... = 7 + 1/(2 + 1/(1 + 1/(1 + 1/(3 + ...)))) 
               [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Apr 30 2009]
%t A001204 ContinuedFraction[ E^2, 100]
%o A001204 (PARI) contfrac(exp(2))
%o A001204 (PARI) { allocatemem(932245000); default(realprecision, 95000); x=contfrac(exp(2)); 
               for (n=1, 20001, write("b001204.txt", n-1, " ", x[n])); } [From Harry 
               J. Smith (hjsmithh(AT)sbcglobal.net), Apr 30 2009]
%Y A001204 Sequence in context: A153589 A010505 A020844 this_sequence A021585 A103713 
               A089129
%Y A001204 Adjacent sequences: A001201 A001202 A001203 this_sequence A001205 A001206 
               A001207
%K A001204 easy,nonn,cofr,nice
%O A001204 0,1
%A A001204 N. J. A. Sloane (njas(AT)research.att.com).
%E A001204 More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 07 2000