A038631 Continued fraction expansion of Sum_{k>=1} 1/(2^k - 1).

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, 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, 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

Offset: 0

Author

Randall L Rathbun, Jan 16 2002

Keywords

• nonn
• cofr

Examples

			1.60669515241529176378... = 1 + 1/(1 + 1/(1 + 1/(1 + 1/(1 + 1/(5 + ...))))). - _Harry J. Smith_, Oct 19 2009
		

Links

• Harry J. Smith, Table of n, a(n) for n = 0..1999

Crossrefs

Cf. A065442 (decimal expansion).

Programs

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

Extensions

Offset changed by Andrew Howroyd, Aug 03 2024