login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A010208 Continued fraction for sqrt(159). 1
12, 1, 1, 1, 1, 3, 1, 1, 1, 1, 24, 1, 1, 1, 1, 3, 1, 1, 1, 1, 24, 1, 1, 1, 1, 3, 1, 1, 1, 1, 24, 1, 1, 1, 1, 3, 1, 1, 1, 1, 24, 1, 1, 1, 1, 3, 1, 1, 1, 1, 24, 1, 1, 1, 1, 3, 1, 1, 1, 1, 24, 1, 1, 1, 1, 3, 1, 1, 1, 1, 24, 1, 1, 1, 1, 3, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..77.

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, 1).

FORMULA

a(n) = (1/90)*(-200*(n mod 10) + 7*((n+1) mod 10) + 7*((n+2) mod 10) + 7*((n+3) mod 10) + 25*((n+4) mod 10) - 11*((n+5) mod 10) + 7*((n+6) mod 10) + 7*((n+7) mod 10) + 7*((n+8) mod 10) + 214*((n+9) mod 10)) - 12*(C(2*n,n) mod 2), with n >= 0. - Paolo P. Lava, Jul 28 2009

MAPLE

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

MATHEMATICA

ContinuedFraction[Sqrt[159], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 23 2011 *)

CROSSREFS

Sequence in context: A012454 A322732 A325827 * A306682 A327154 A010209

Adjacent sequences:  A010205 A010206 A010207 * A010209 A010210 A010211

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 February 24 13:05 EST 2020. Contains 332209 sequences. (Running on oeis4.)