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!)
A040275 Continued fraction for sqrt(293). 2
17, 8, 1, 1, 8, 34, 8, 1, 1, 8, 34, 8, 1, 1, 8, 34, 8, 1, 1, 8, 34, 8, 1, 1, 8, 34, 8, 1, 1, 8, 34, 8, 1, 1, 8, 34, 8, 1, 1, 8, 34, 8, 1, 1, 8, 34, 8, 1, 1, 8, 34, 8, 1, 1, 8, 34, 8, 1, 1, 8, 34, 8, 1, 1, 8, 34, 8, 1, 1, 8, 34, 8, 1, 1, 8, 34, 8, 1, 1, 8, 34, 8, 1, 1, 8 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..84.

Index entries for continued fractions for constants

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

FORMULA

a(n)=(1/25)*{-104*(n mod 5)-9*[(n+1) mod 5]+26*[(n+2) mod 5]+61*[(n+3) mod 5]+156*[(n+4) mod 5]}-17*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 24 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(293)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[293], 120] (* or *) PadRight[{17}, 120, {34, 8, 1, 1, 8}] (* Harvey P. Dale, Apr 09 2017 *)

CROSSREFS

Sequence in context: A107807 A075710 A048368 * A033337 A122063 A083308

Adjacent sequences:  A040272 A040273 A040274 * A040276 A040277 A040278

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 June 24 22:23 EDT 2021. Contains 345445 sequences. (Running on oeis4.)