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!)
A041565 Denominators of continued fraction convergents to sqrt(300). 2
1, 3, 25, 78, 2677, 8109, 67549, 210756, 7233253, 21910515, 182517373, 569462634, 19544246929, 59202203421, 493161874297, 1538687826312, 52808547968905, 159964331733027, 1332523201833121, 4157533937232390, 142688677067734381, 432223565140435533 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
G.f.: -(x^2-3*x-1)*(x^4+26*x^2+1) / ((x^4-52*x^2+1)*(x^4+52*x^2+1)). - Colin Barker, Nov 19 2013
a(n) = 2702*a(n-4) - a(n-8) for n>7. - Vincenzo Librandi, Dec 20 2013
MATHEMATICA
Denominator[Convergents[Sqrt[300], 30]] (* Vincenzo Librandi, Dec 20 2013 *)
PROG
(Magma) I:=[1, 3, 25, 78, 2677, 8109, 67549, 210756]; [n le 8 select I[n] else 2702*Self(n-4)-Self(n-8): n in [1..40]]; // Vincenzo Librandi, Dec 20 2013
CROSSREFS
Sequence in context: A129443 A083298 A083222 * A114378 A075306 A183761
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 19 2013
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 March 29 10:22 EDT 2024. Contains 371268 sequences. (Running on oeis4.)