A152062 - OEIS

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

(list; constant; graph; refs; listen; history; text; internal format)

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]]