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

%I #16 Mar 16 2016 15:22:54

%S 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,

%T 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,

%U 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

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

%F One plus A084255. [_R. J. Mathar_, Nov 27 2008]

%F Equals 1+1/(2+1/(3+1/(5+1/(7+1/(11+...))))). - _Daniel Forgues_, Mar 08 2016

%e 1.4323320871859028689092537...

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

%Y Cf. A064442, A127549.

%K cons,nonn

%O 1,2

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