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Continued fraction expansion of Sum_{k>=1} 1/(2^k - 1).
3

%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