A108813 Decimal expansion of the continued fraction 2/(5+4/(7+6/(9+8/(11+10/(13+12/...

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, 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, 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

Offset

0,1

Links

Table of n, a(n) for n=0..104.

Formula

Equals 2*(5 - 3*exp(1/2))/(2*exp(1/2) - 3). - Vaclav Kotesovec, Apr 04 2020

Example

0.36199386709226...

Mathematica

RealDigits[2*(5 - 3*Sqrt[E])/(2*Sqrt[E] - 3), 10, 117][[1]] (* Vaclav Kotesovec, Apr 04 2020 *)
N[FromContinuedFraction[Flatten[{0, Table[{2*k, 1, 3}, {k, 1, 1000}]}]], 117] (* Vaclav Kotesovec, Apr 04 2020 *)

Crossrefs

Sequence in context: A090911 A198491 A336245 * A108591 A110119 A322310

Adjacent sequences: A108810 A108811 A108812 * A108814 A108815 A108816

Keyword

cons,nonn

Author

Benoit Cloitre, Jul 10 2005

Extensions

More terms from Joshua Zucker, May 08 2006

Definition changed by Georg Fischer, Apr 04 2020

Status

approved