A191608 Decimal expansion of number whose continued fraction is based on noncomposite numbers.

6, 9, 8, 1, 6, 2, 1, 1, 5, 4, 3, 8, 3, 9, 3, 9, 0, 3, 5, 3, 3, 5, 2, 3, 8, 8, 7, 5, 0, 8, 3, 4, 6, 9, 7, 5, 9, 2, 9, 5, 9, 9, 1, 0, 9, 1, 2, 4, 1, 8, 7, 4, 4, 7, 5, 3, 3, 8, 9, 2, 4, 6, 2, 8, 4, 7, 2, 7, 9, 7, 2, 5, 3, 9, 7, 5, 0, 7, 9, 4, 7, 0, 4, 9, 6, 7, 3, 7, 9, 9, 7, 4, 1, 8, 9, 8, 9, 7, 0, 3, 1, 6, 8, 5, 1

Offset

0,1

Links

Table of n, a(n) for n=0..104.

Formula

Equals 1/(1+A084255). - Nathaniel Johnston, Jun 08 2011

Equals 1/A152062. - R. J. Mathar, Jun 17 2011

Example

0.6981621154383939035335... = 1/(1+1/(2+1/(3+1/(5+1/(7+1/(11+1/(13+1/...))))))).

Crossrefs

Sequence in context: A375594 A019696 A119801 * A266563 A335028 A153603

Adjacent sequences: A191605 A191606 A191607 * A191609 A191610 A191611

Keyword

nonn,cons

Author

Fabrice Auzanneau, Jun 08 2011

Extensions

Corrected and extended by Nathaniel Johnston, Jun 08 2011

Status

approved