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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A042031 Denominators of continued fraction convergents to sqrt(539). 2
1, 4, 5, 9, 14, 23, 37, 171, 7903, 31783, 39686, 71469, 111155, 182624, 293779, 1357740, 62749819, 252357016, 315106835, 567463851, 882570686, 1450034537, 2332605223, 10780455429, 498233554957, 2003714675257, 2501948230214, 4505662905471, 7007611135685 (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, 0, 0, 0, 0, 0, 0, 7940, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^14 -4*x^13 +5*x^12 -9*x^11 +14*x^10 -23*x^9 +37*x^8 -171*x^7 -37*x^6 -23*x^5 -14*x^4 -9*x^3 -5*x^2 -4*x -1) / (x^16 -7940*x^8 +1). - Colin Barker, Nov 29 2013

MATHEMATICA

Denominator[Convergents[Sqrt[539], 30]] (* Vincenzo Librandi, Jan 12 2014 *)

LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 7940, 0, 0, 0, 0, 0, 0, 0, -1}, {1, 4, 5, 9, 14, 23, 37, 171, 7903, 31783, 39686, 71469, 111155, 182624, 293779, 1357740}, 30] (* Harvey P. Dale, May 25 2015 *)

CROSSREFS

Cf. A042030, A040515.

Sequence in context: A120740 A274282 A000285 * A041493 A250474 A042765

Adjacent sequences:  A042028 A042029 A042030 * A042032 A042033 A042034

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 29 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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified February 25 16:14 EST 2018. Contains 299653 sequences. (Running on oeis4.)