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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A010175 Continued fraction for sqrt(109). 1
10, 2, 3, 1, 2, 4, 1, 6, 6, 1, 4, 2, 1, 3, 2, 20, 2, 3, 1, 2, 4, 1, 6, 6, 1, 4, 2, 1, 3, 2, 20, 2, 3, 1, 2, 4, 1, 6, 6, 1, 4, 2, 1, 3, 2, 20, 2, 3, 1, 2, 4, 1, 6, 6, 1, 4, 2, 1, 3, 2, 20, 2, 3, 1, 2, 4, 1, 6, 6, 1, 4, 2, 1, 3, 2, 20, 2, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..999

G. Xiao, Contfrac

Index entries for continued fractions for constants

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

FORMULA

a(n)=(1/1575)*{-1832*(n mod 15)+163*[(n+1) mod 15]-152*[(n+2) mod 15]+163*[(n+3) mod 15]+268*[(n+4) mod 15]-257*[(n+5) mod 15]+583*[(n+6) mod 15]+58*[(n+7) mod 15]-467*[(n+8) mod 15]+373*[(n+9) mod 15]-152*[(n+10) mod 15]-47*[(n+11) mod 15]+268*[(n+12) mod 15]-47*[(n+13) mod 15]+1948*[(n+14) mod 15]}-10*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Jul 24 2009]

MATHEMATICA

ContinuedFraction[Sqrt[109], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 11 2011*)

PadRight[{10}, 120, {20, 2, 3, 1, 2, 4, 1, 6, 6, 1, 4, 2, 1, 3, 2}] (* Harvey P. Dale, May 29 2016 *)

CROSSREFS

Sequence in context: A265994 A201278 A232589 * A208091 A160136 A049296

Adjacent sequences:  A010172 A010173 A010174 * A010176 A010177 A010178

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 March 26 16:31 EDT 2017. Contains 284137 sequences.