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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A041339 Denominators of continued fraction convergents to sqrt(183). 2
1, 1, 2, 17, 19, 36, 955, 991, 1946, 16559, 18505, 35064, 930169, 965233, 1895402, 16128449, 18023851, 34152300, 905983651, 940135951, 1846119602, 15709092767, 17555212369, 33264305136, 882427145905, 915691451041, 1798118596946, 15300640226609 (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 (0,0,0,0,0,974,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^4-x^3+2*x^2+x+1)*(x^6-18*x^3-1) / (x^12-974*x^6+1). - Colin Barker, Nov 15 2013

a(n) = 974*a(n-6) - a(n-12). - Vincenzo Librandi, Dec 16 2013

MATHEMATICA

Denominator[Convergents[Sqrt[183], 30]] (* Vincenzo Librandi, Dec 16 2013 *)

PROG

(MAGMA) I:=[1, 1, 2, 17, 19, 36, 955, 991, 1946, 16559, 18505, 35064]; [n le 12 select I[n] else 974*Self(n-6)-Self(n-12): n in [1..40]]; // Vincenzo Librandi, Dec 16 2013

CROSSREFS

Cf. A041338, A010226.

Sequence in context: A043297 A018569 A022118 * A042925 A019413 A040138

Adjacent sequences:  A041336 A041337 A041338 * A041340 A041341 A041342

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 15 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 October 18 02:23 EDT 2019. Contains 328135 sequences. (Running on oeis4.)