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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A040233 Continued fraction for sqrt(249). 0
15, 1, 3, 1, 1, 5, 1, 3, 10, 3, 1, 5, 1, 1, 3, 1, 30, 1, 3, 1, 1, 5, 1, 3, 10, 3, 1, 5, 1, 1, 3, 1, 30, 1, 3, 1, 1, 5, 1, 3, 10, 3, 1, 5, 1, 1, 3, 1, 30, 1, 3, 1, 1, 5, 1, 3, 10, 3, 1, 5, 1, 1, 3, 1, 30, 1, 3, 1, 1, 5, 1, 3, 10, 3, 1, 5, 1, 1, 3, 1, 30, 1, 3, 1, 1, 5, 1, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..87.

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, 0, 1).

FORMULA

a(n)=(1/192)*{-341*(n mod 16)+31*[(n+1) mod 16]-17*[(n+2) mod 16]+7*[(n+3) mod 16]+55*[(n+4) mod 16]-41*[(n+5) mod 16]+31*[(n+6) mod 16]+91*[(n+7) mod 16]-77*[(n+8) mod 16]-17*[(n+9) mod 16]+55*[(n+10) mod 16]-41*[(n+11) mod 16]+7*[(n+12) mod 16]+31*[(n+13) mod 16]-17*[(n+14) mod 16]+355*[(n+15) mod 16]}-15*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 22 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(249)), confrac);

CROSSREFS

Sequence in context: A040231 A040232 A040230 * A040234 A040235 A040236

Adjacent sequences:  A040230 A040231 A040232 * A040234 A040235 A040236

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 19 12:31 EST 2019. Contains 320310 sequences. (Running on oeis4.)