OFFSET
1,1
COMMENTS
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..10000
FORMULA
Continued fraction (as explained at A189959): [r,r,r,r,r], where r=(1+sqrt(5))/2. Ordinary continued fraction, as given by Mathematica program shown below:
[2,10,1,2,29,1,5,2,1,1,2,1,3,5,1,3,3,10,1,2,29,...].
EXAMPLE
2.09371764979150893897354691821512384324713043637531095986983...
MATHEMATICA
r=(1+5^(1/2))/2;
FromContinuedFraction[{r, r, r, r, r}]
FullSimplify[%]
N[%, 130]
RealDigits[%] (*A189963*)
ContinuedFraction[%%]
PROG
(PARI) (5+9*sqrt(5))/12 \\ G. C. Greubel, Jan 13 2018
(Magma) (5+9*Sqrt(5))/12 // G. C. Greubel, Jan 13 2018
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, May 02 2011
STATUS
approved