OFFSET
1,1
COMMENTS
Essentially the same as A020789. - R. J. Mathar, May 16 2011
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..10000
FORMULA
Continued fraction (as explained at A188635): [r,r,r], where r = 1 + sqrt(2). The ordinary continued fraction (as given by Mathematica program shown below) is as follows:
[2,1,3,3,3,1,2,1,3,3,3,1,2,1,3,3,3,1,2,1,3,3,3,1,2...]
EXAMPLE
2.767766952966368811002110905262122598212089844221...
MATHEMATICA
r=1+2^(1/2);
FromContinuedFraction[{r, r, r}]
FullSimplify[%]
N[%, 130]
RealDigits[%]
ContinuedFraction[%%]
PROG
(PARI) (4+5*sqrt(2))/4 \\ G. C. Greubel, Jan 13 2018
(Magma) (4+5*Sqrt(2))/4 // G. C. Greubel, Jan 13 2018
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, May 02 2011
STATUS
approved