login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A040245 Continued fraction for sqrt(262). 0
16, 5, 2, 1, 2, 1, 10, 16, 10, 1, 2, 1, 2, 5, 32, 5, 2, 1, 2, 1, 10, 16, 10, 1, 2, 1, 2, 5, 32, 5, 2, 1, 2, 1, 10, 16, 10, 1, 2, 1, 2, 5, 32, 5, 2, 1, 2, 1, 10, 16, 10, 1, 2, 1, 2, 5, 32, 5, 2, 1, 2, 1, 10, 16, 10, 1, 2, 1, 2, 5, 32, 5, 2, 1, 2, 1, 10, 16, 10, 1, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..80.

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, 1).

FORMULA

a(n)=(1/1274)*{-2367*(n mod 14)-183*[(n+1) mod 14]-[(n+2) mod 14]+181*[(n+3) mod 14]-[(n+4) mod 14]+909*[(n+5) mod 14]+636*[(n+6) mod 14]-456*[(n+7) mod 14]-729*[(n+8) mod 14]+181*[(n+9) mod 14]-[(n+10) mod 14]+181*[(n+11) mod 14]+363*[(n+12) mod 14]+2547*[(n+13) mod 14]}-16*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 21 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(262)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[262], 120] (* Harvey P. Dale, Mar 13 2014 *)

CROSSREFS

Sequence in context: A089083 A102411 A336782 * A070538 A296336 A198064

Adjacent sequences:  A040242 A040243 A040244 * A040246 A040247 A040248

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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 1 09:13 EDT 2022. Contains 357140 sequences. (Running on oeis4.)