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!)
A181313 Continued fraction expansion of the Fibonacci binary number. 4
1, 2, 2, 3, 2, 28, 1, 13, 1, 2, 1, 123, 1, 6, 1, 2039, 2, 2, 6, 262111, 1, 35, 1, 1, 3, 536870655, 1, 2, 1, 15, 1, 3, 3, 1, 1, 1, 2, 140737488347135, 1, 1, 1, 1, 1, 127, 1, 7, 7, 1, 5, 2, 2, 75557863725914321321983, 1, 1, 2, 5, 1, 2047, 2, 2, 5, 1, 31, 6, 1, 1, 3, 2, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Essentially the same as A125600. - R. J. Mathar, Oct 14 2010

LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 1..639

D. Bailey, J. Borwein, R. Crandall, and C. Pomerance, On the binary expansions of algebraic numbers, Journal de Théorie des Nombres de Bordeaux 16 (2004), 487-518.

J. H. Loxton and A. van der Poorten, Arithmetic properties of certain functions in several variables III, Bulletin of the Australian Mathematical Society, Volume 16, Issue 01, February 1977, pp 15-47.

J. Shallit and A. van der Poorten, A specialised continued fraction, Can. J. Math. 45 (1993), 1067-79.

Alf van der Poorten, In thrall to Fibonacci

PROG

(PARI) contfrac(suminf(n=1, 2.^-fibonacci(n)))

CROSSREFS

Cf. A084119 (decimal expansion), A125600 (essentially the same), A006518.

Sequence in context: A127012 A125503 A127009 * A334515 A164089 A300290

Adjacent sequences:  A181310 A181311 A181312 * A181314 A181315 A181316

KEYWORD

cofr,nonn

AUTHOR

Charles R Greathouse IV, Oct 12 2010

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 May 19 17:44 EDT 2022. Contains 353847 sequences. (Running on oeis4.)