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

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A010167 Continued fraction for sqrt(96). 2
9, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18 (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

FORMULA

a(n)=(1/24)*{-79*(n mod 4)+35*[(n+1) mod 4]+11*[(n+2) mod 4]+125*[(n+3) mod 4]}-9*[C(2*n,n) mod 2], with n>=0. - Paolo P. Lava, Jul 24 2009

EXAMPLE

9.79795897113271239278913629... = 9 + 1/(1 + 1/(3 + 1/(1 + 1/(18 + ...)))). - Harry J. Smith, Jun 11 2009

MATHEMATICA

ContinuedFraction[Sqrt[96], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 10 2011 *)

PROG

(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(sqrt(96)); for (n=0, 20000, write("b010167.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 11 2009

CROSSREFS

Cf. A010547 Decimal expansion. - Harry J. Smith, Jun 11 2009

Sequence in context: A154490 A051995 A198835 * A154181 A239121 A019875

Adjacent sequences:  A010164 A010165 A010166 * A010168 A010169 A010170

KEYWORD

nonn,cofr

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 10 13:27 EST 2016. Contains 279004 sequences.