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Decimal expansion of the continued fraction 2/(5+4/(7+6/(9+8/(11+10/(13+12/...
0

%I #20 Apr 04 2020 17:39:43

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

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

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

%N Decimal expansion of the continued fraction 2/(5+4/(7+6/(9+8/(11+10/(13+12/...

%F Equals 2*(5 - 3*exp(1/2))/(2*exp(1/2) - 3). - _Vaclav Kotesovec_, Apr 04 2020

%e 0.36199386709226...

%t RealDigits[2*(5 - 3*Sqrt[E])/(2*Sqrt[E] - 3), 10, 117][[1]] (* _Vaclav Kotesovec_, Apr 04 2020 *)

%t N[FromContinuedFraction[Flatten[{0, Table[{2*k, 1, 3}, {k, 1, 1000}]}]], 117] (* _Vaclav Kotesovec_, Apr 04 2020 *)

%K cons,nonn

%O 0,1

%A _Benoit Cloitre_, Jul 10 2005

%E More terms from _Joshua Zucker_, May 08 2006

%E Definition changed by _Georg Fischer_, Apr 04 2020