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!)
A040012 Continued fraction for sqrt(17). 13
4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
Decimal expansion of 22/45. - Elmo R. Oliveira, Feb 06 2024
LINKS
G. Xiao, Contfrac
FORMULA
a(n) = 4*A040000(n). - Stefano Spezia, May 14 2023
From Elmo R. Oliveira, Feb 06 2024: (Start)
a(n) = 8 for n >= 1.
G.f.: 4*(1+x)/(1-x).
E.g.f.: 8*exp(x) - 4. (End)
EXAMPLE
4.123105625617660549821409855... = 4 + 1/(8 + 1/(8 + 1/(8 + 1/(8 + ...)))). - Harry J. Smith, Jun 03 2009
MAPLE
Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):
MATHEMATICA
ContinuedFraction[Sqrt[17], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 05 2011 *)
PadRight[{4}, 100, 8] (* Harvey P. Dale, Jun 22 2015 *)
PROG
(PARI) { allocatemem(932245000); default(realprecision, 37000); x=contfrac(sqrt(17)); for (n=0, 20000, write("b040012.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 03 2009
CROSSREFS
Cf. A041024/A041025 (convergents), A010473 (decimal expansion), A248245 (Egyptian fraction).
Cf. A040000.
Sequence in context: A200357 A201405 A331067 * A054006 A029679 A304651
KEYWORD
nonn,cofr,easy
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 July 25 11:18 EDT 2024. Contains 374588 sequences. (Running on oeis4.)