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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A042749 Denominators of continued fraction convergents to sqrt(905). 2
1, 12, 721, 8664, 520561, 6255396, 375844321, 4516387248, 271359079201, 3260825337660, 195920879338801, 2354311377403272, 141454603523535121, 1699809553659824724, 102130027823113018561, 1227260143431016047456, 73737738633684075865921 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0, 722, 0, -1).

FORMULA

G.f.: -(x^2-12*x-1) / (x^4-722*x^2+1). - Colin Barker, Dec 22 2013

MATHEMATICA

Denominator[Convergents[Sqrt[905], 30]] (* Vincenzo Librandi, Jan 28 2014 *)

LinearRecurrence[{0, 722, 0, -1}, {1, 12, 721, 8664}, 20] (* Harvey P. Dale, Nov 08 2017 *)

CROSSREFS

Cf. A042748, A040874.

Sequence in context: A000909 A162447 A061025 * A219568 A202792 A317337

Adjacent sequences:  A042746 A042747 A042748 * A042750 A042751 A042752

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Additional term from Colin Barker, Dec 22 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 20 05:47 EDT 2019. Contains 321344 sequences. (Running on oeis4.)