A152062 Decimal expansion of number with continued fraction expansion 1, 2, 3, 5, 7, 11, 13, 17, 19, ...

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

Offset

1,2

Links

Table of n, a(n) for n=1..100.

Formula

One plus A084255. [R. J. Mathar, Nov 27 2008]

Equals 1+1/(2+1/(3+1/(5+1/(7+1/(11+...))))). - Daniel Forgues, Mar 08 2016

Example

1.4323320871859028689092537...

Mathematica

RealDigits[N[FromContinuedFraction[Prepend[Table[Prime[n], {n, 1, 100}], 1]], 100]][[1]]

Crossrefs

Cf. A064442, A127549.

Sequence in context: A001178 A016501 A248912 * A084255 A247847 A076576

Adjacent sequences: A152059 A152060 A152061 * A152063 A152064 A152065

Keyword

cons,nonn

Author

Frank S. Thomas (fthomas(AT)physik.uni-wuerzburg.de), Nov 22 2008

Status

approved