login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A040074 Continued fraction for sqrt(84). 3
9, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6 (list; graph; refs; listen; history; text; 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

Index entries for linear recurrences with constant coefficients, signature (0, 1).

FORMULA

a(n) = 12 + 6*(-1)^n - 9*(binomial(2*n,n) mod 2), with n>=0. - Paolo P. Lava, Jun 10 2009

EXAMPLE

9.1651513899116800131760943... = 9 + 1/(6 + 1/(18 + 1/(6 + 1/(18 + ...)))). - Harry J. Smith, Jun 10 2009

MAPLE

Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):

MATHEMATICA

ContinuedFraction[Sqrt[84], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 09 2011 *)

PROG

(PARI) { allocatemem(932245000); default(realprecision, 42000); x=contfrac(sqrt(84)); for (n=0, 20000, write("b040074.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 10 2009

CROSSREFS

Cf. A010535 Decimal expansion. - Harry J. Smith, Jun 10 2009

Sequence in context: A166520 A102648 A272960 * A088999 A073782 A156033

Adjacent sequences:  A040071 A040072 A040073 * A040075 A040076 A040077

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 24 03:37 EDT 2019. Contains 325290 sequences. (Running on oeis4.)