|
| |
|
|
A040071
|
|
Continued fraction for sqrt(80).
|
|
3
| |
|
|
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; internal format)
|
|
|
|
OFFSET
| 0,1
|
|
|
LINKS
| Harry J. Smith, Table of n, a(n) for n=0,...,20000
G. Xiao, Contfrac
Index entries for continued fractions for constants
|
|
|
FORMULA
| a(n)=(1/2)[17+15*(-1)^n]-8*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Jun 10 2009]
|
|
|
EXAMPLE
| 8.9442719099991587856366946... = 8 + 1/(1 + 1/(16 + 1/(1 + 1/(16 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 09 2009]
|
|
|
MAPLE
| Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):
|
|
|
MATHEMATICA
| ContinuedFraction[Sqrt[80], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 09 2011*)
|
|
|
PROG
| (PARI) { allocatemem(932245000); default(realprecision, 26000); x=contfrac(sqrt(80)); for (n=0, 20000, write("b040071.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 09 2009]
|
|
|
CROSSREFS
| Cf. A010532 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 09 2009]
Sequence in context: A173988 A158893 A107929 * A126000 A013615 A103884
Adjacent sequences: A040068 A040069 A040070 * A040072 A040073 A040074
|
|
|
KEYWORD
| nonn,cofr,easy
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|
