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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A041667 Denominators of continued fraction convergents to sqrt(352). 2
1, 1, 4, 21, 193, 986, 3151, 4137, 152083, 156220, 620743, 3259935, 29960158, 153060725, 489142333, 642203058, 23608452421, 24250655479, 96360418858, 506052749769, 4650835166779, 23760228583664, 75931520917771, 99691749501435, 3664834502969431 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,155234,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^14 -x^13 +4*x^12 -21*x^11 +193*x^10 -986*x^9 +3151*x^8 -4137*x^7 -3151*x^6 -986*x^5 -193*x^4 -21*x^3 -4*x^2 -x -1) / ((x^8 -394*x^4 +1)*(x^8 +394*x^4 +1)). - Colin Barker, Nov 21 2013

a(n) = 155234*a(n-8) - a(n-16) for n>15. - Vincenzo Librandi, Dec 22 2013

MATHEMATICA

Denominator[Convergents[Sqrt[352], 30]] (* Vincenzo Librandi, Dec 22 2013 *)

PROG

(MAGMA) I:=[1, 1, 4, 21, 193, 986, 3151, 4137, 152083, 156220, 620743, 3259935, 29960158, 153060725, 489142333, 642203058]; [n le 16 select I[n] else 155234*Self(n-8)-Self(n-16): n in [1..40]]; // Vincenzo Librandi, Dec 22 2013

CROSSREFS

Cf. A041666, A040333.

Sequence in context: A158258 A065527 A267988 * A286883 A217144 A132684

Adjacent sequences:  A041664 A041665 A041666 * A041668 A041669 A041670

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 21 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 July 15 16:29 EDT 2019. Contains 325049 sequences. (Running on oeis4.)