The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A040071 Continued fraction for sqrt(80). 5
8, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
G. Xiao, Contfrac.
FORMULA
a(n) = 4^(1+(-1)^n) for n>0, a(0)=8. - Bruno Berselli, Dec 29 2015
From Amiram Eldar, Nov 13 2023: (Start)
Multiplicative with a(2^e) = 16, and a(p^e) = 1 for an odd prime p.
Dirichlet g.f.: zeta(s) * (1 + 15/2^s). (End)
EXAMPLE
8.9442719099991587856366946... = 8 + 1/(1 + 1/(16 + 1/(1 + 1/(16 + ...)))). - Harry J. Smith, Jun 09 2009
MAPLE
Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):
MATHEMATICA
ContinuedFraction[Sqrt[80], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 09 2011 *)
PadRight[{8}, 120, {16, 1}] (* Harvey P. Dale, Apr 16 2022 *)
PROG
(PARI) { allocatemem(932245000); default(realprecision, 26000); x=contfrac(sqrt(80)); for (n=0, 20000, write("b040071.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 09 2009
CROSSREFS
Cf. A010532 (decimal expansion).
Sequence in context: A342636 A332941 A107929 * A317026 A126000 A326992
KEYWORD
nonn,cofr,easy,mult
AUTHOR
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 23 10:34 EDT 2024. Contains 372760 sequences. (Running on oeis4.)