login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A190288 Continued fraction of (5+sqrt(25+4r))/2, where r=sqrt(5). 1
5, 2, 2, 2, 1, 1, 1, 10, 1, 1, 2, 1, 2, 1, 7, 1, 1, 1, 3, 1, 3, 1, 1, 2, 11, 22, 1, 1, 3, 3, 7, 1, 1, 1, 5, 1, 181, 1, 2, 2, 1, 2, 3, 17, 83, 1, 3, 2, 1, 14, 3, 1, 44, 3, 6, 4, 4, 1, 28, 1, 1, 1, 2, 1, 2, 1, 15, 1, 55, 1, 1, 3, 16, 3, 2, 1, 1, 1, 2, 1, 1, 2, 8, 4, 1, 1, 1, 1, 1, 1, 38 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Equivalent to the periodic continued fraction [5, r, 5, r, ...] where r=sqrt(5).  For geometric interpretations of both continued fractions, see A190287 and A188635.

LINKS

Table of n, a(n) for n=1..91.

MATHEMATICA

(See A190287.)

ContinuedFraction[(5+Sqrt[25+4Sqrt[5]])/2, 120] (* Harvey P. Dale, Jun 22 2022 *)

CROSSREFS

Cf. A188635, A190287.

Sequence in context: A324996 A058841 A129165 * A325499 A081119 A303579

Adjacent sequences:  A190285 A190286 A190287 * A190289 A190290 A190291

KEYWORD

nonn,cofr

AUTHOR

Clark Kimberling, May 07 2011

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 30 15:34 EDT 2022. Contains 357106 sequences. (Running on oeis4.)