%I #17 Aug 03 2024 13:24:56
%S 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 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 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 Continued fraction expansion of Sum_{k>=1} 1/(2^k - 1).
%H Harry J. Smith, <a href="/A038631/b038631.txt">Table of n, a(n) for n = 0..1999</a>
%e 1.60669515241529176378... = 1 + 1/(1 + 1/(1 + 1/(1 + 1/(1 + 1/(5 + ...)))). - _Harry J. Smith_, Oct 19 2009
%o (PARI) { allocatemem(932245000); default(realprecision, 2400); x=contfrac(x=suminf(k=1, 1/(2^k - 1))); for (n=1, 2000, write("b038631.txt", n-1, " ", x[n])) } \\ _Harry J. Smith_, Oct 19 2009
%Y Cf. A065442 (decimal expansion).
%K nonn,cofr
%O 0,6
%A _Randall L Rathbun_, Jan 16 2002
%E Offset changed by _Andrew Howroyd_, Aug 03 2024