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%I #15 Aug 03 2024 13:24:49
%S 1,2,2,9,1,3,5,1,2,1,1,1,1,8,2,1,1,2,1,12,19,24,1,18,12,1,2,1,1,2,2,1,
%T 1,1,1,2,1,8,1,1,5,2,5,8,1,4,2,5,1,1,8,1,2,1,1,1,1,2,2,1,1,2,1,12,18,
%U 1,7,2,1,1,2,4,1,5,4,2,1,1,1,1,1,4,64,14,1,6,3,1,6
%N Continued fraction for Sum_{m>=0} 1/(2^2^m - 1).
%H Harry J. Smith, <a href="/A048650/b048650.txt">Table of n, a(n) for n = 0..19999</a>
%H G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">Contfrac</a>
%H <a href="/index/Con#confC">Index entries for continued fractions for constants</a>
%e 1.40393682788217832057620607413720935453...
%e 1.403936827882178320576206074... = 1 + 1/(2 + 1/(2 + 1/(9 + 1/(1 + ...)))). - _Harry J. Smith_, May 03 2009
%o (PARI) { allocatemem(932245000); default(realprecision, 21000); x=suminf(m=0, 1/(2^2^m - 1)); x=contfrac(x); for (n=1, 20000, write("b048650.txt", n-1, " ", x[n])); } \\ _Harry J. Smith_, May 07 2009
%Y Cf. A048164, A048649 (decimal expansion).
%K nonn,cofr
%O 0,2
%A _N. J. A. Sloane_
%E Deleted old PARI program. - _Harry J. Smith_, May 20 2009
%E Offset changed by _Andrew Howroyd_, Aug 03 2024