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

0,6

Links

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

Example

1.60669515241529176378... = 1 + 1/(1 + 1/(1 + 1/(1 + 1/(1 + 1/(5 + ...)))). - Harry J. Smith, Oct 19 2009

Prog

(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

Crossrefs

Cf. A065442 (decimal expansion).

Sequence in context: A280695 A243258 A275704 * A158625 A133615 A136161

Adjacent sequences: A038628 A038629 A038630 * A038632 A038633 A038634

Keyword

nonn,cofr

Author

Randall L Rathbun, Jan 16 2002

Extensions

Offset changed by Andrew Howroyd, Aug 03 2024

Status

approved