%I A038631
%S A038631 1,1,1,1,1,5,2,1,2,29,4,1,2,2,2,2,6,1,7,1,6,1,2,1,1,1,1,1,417,1,8,2,1,
%T A038631 37,1,1,1,8,1,3,1,4,2,2,5,1,3,1,2,1,1,2,2,1,10,1,1,16,1,1,1,2,3,3,1,9,
%U A038631 3,2,1,6,7,2,7,20,1,2,2,2,2,2,10,1,2,2,3,1,2,63,1,5,1,4,2,20,18,2,1,2
%N A038631 Continued fraction expansion of Sum_{k=1..inf} 1/(2^k-1).
%H A038631 Harry J. Smith, <a href="b038631.txt">Table of n, a(n) for n=1,...,2000</
               a>
%e A038631 1.60669515241529176378... = 1 + 1/(1 + 1/(1 + 1/(1 + 1/(1 + 1/(5 + ...)))) 
               [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 19 2009]
%o A038631 (PARI) { allocatemem(932245000); default(realprecision, 2400); x=contfrac(x=suminf(k=1, 
               1/(2^k - 1))); for (n=1, 2000, write("b038631.txt", n, " ", x[n])) 
               } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 19 2009]
%Y A038631 Cf. A065442.
%Y A038631 Sequence in context: A136301 A132690 A089086 this_sequence A158625 A133615 
               A136161
%Y A038631 Adjacent sequences: A038628 A038629 A038630 this_sequence A038632 A038633 
               A038634
%K A038631 nonn,cofr
%O A038631 1,6
%A A038631 Randall L. Rathbun, Jan 16 2002