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%I M5437 #23 Aug 30 2017 17:49:57
%S 324,63,1,1023,64,1023,1,63,1023,1,63,1023,1,62,1,1023,63,1,1023,64,
%T 1023,1,63,1023,1,62,1,1023,64,1023,1,63,1023,1,62,1,1023,63,1,1023,
%U 63,1,1023,64,1023,1
%N Continued fraction for 4^5*Sum_{n>=0} 1/4^(2^n).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H Harry J. Smith, <a href="/A006465/b006465.txt">Table of n, a(n) for n = 0..20000</a>
%H J. Shallit, <a href="/A006463/a006463.pdf">Letter to N. J. A. Sloane with attachment, Aug. 1979</a>
%H Jeffrey Shallit, <a href="http://www.cs.uwaterloo.ca/~shallit/Papers/scf.ps">Simple continued fractions for some irrational numbers</a>. J. Number Theory 11 (1979), no. 2, 209-217 <a href="http://dx.doi.org/10.1016/0022-314X(79)90040-4">[DOI]</a>
%e 324.015625238418579157... = 324 + 1/(63 + 1/(1 + 1/(1023 + 1/(64 + ...)))). - _Harry J. Smith_, May 12 2009
%o (PARI) { allocatemem(932245000); default(realprecision, 66000); x=4^5*suminf(n=0, 1/4^(2^n)); x=contfrac(x); for (n=1, 20001, write("b006465.txt", n-1, " ", x[n])); } \\ _Harry J. Smith_, May 12 2009
%Y Cf. A160387 = Decimal expansion. - _Harry J. Smith_, May 12 2009
%K nonn,cofr
%O 0,1
%A _N. J. A. Sloane_
%E Better description from Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), Dec 02 2002
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