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A152062
Decimal expansion of number with continued fraction expansion 1, 2, 3, 5, 7, 11, 13, 17, 19, ...
3
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
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
Sequence in context: A001178 A016501 A248912 * A084255 A247847 A076576
KEYWORD
cons,nonn
AUTHOR
Frank S. Thomas (fthomas(AT)physik.uni-wuerzburg.de), Nov 22 2008
STATUS
approved