login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A042107 Denominators of continued fraction convergents to sqrt(578). 2
1, 24, 1153, 27696, 1330561, 31961160, 1535466241, 36883150944, 1771926711553, 42563124228216, 2044801889665921, 49117808476210320, 2359699608747761281, 56681908418422481064, 2723091303693026852353, 65410873197051066937536, 3142445004762144239854081 (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 (0,1154,0,-1).

FORMULA

G.f.: -(x^2-24*x-1) / ((x^2-34*x+1)*(x^2+34*x+1)). - Colin Barker, Dec 01 2013

a(n) = 1154*a(n-2) - a(n-4) for n>3. - Vincenzo Librandi, Jan 14 2014

MATHEMATICA

Denominator[Convergents[Sqrt[578], 30]] (* Vincenzo Librandi, Jan 14 2014 *)

PROG

(MAGMA) I:=[1, 24, 1153, 27696]; [n le 4 select I[n] else 1154*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Jan 14 2014

CROSSREFS

Cf. A042106, A040553.

Sequence in context: A323994 A090675 A144618 * A042104 A069991 A035025

Adjacent sequences:  A042104 A042105 A042106 * A042108 A042109 A042110

KEYWORD

nonn,frac,easy,less

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 01 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 December 6 22:42 EST 2021. Contains 349567 sequences. (Running on oeis4.)