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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A042519 Denominators of continued fraction convergents to sqrt(788). 2
1, 14, 785, 11004, 617009, 8649130, 484968289, 6798205176, 381184458145, 5343380619206, 299610499133681, 4199890368490740, 235493471134615121, 3301108486253102434, 185097568701308351425, 2594667070304570022384, 145486453505757229604929 (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, 786, 0, -1).

FORMULA

G.f.: -(x^2-14*x-1) / ((x^2-28*x-1)*(x^2+28*x-1)). - Colin Barker, Dec 17 2013

MATHEMATICA

Denominator[Convergents[Sqrt[788], 30]] (* Vincenzo Librandi, Jan 23 2014 *)

LinearRecurrence[{0, 786, 0, -1}, {1, 14, 785, 11004}, 20] (* Harvey P. Dale, Sep 26 2016 *)

CROSSREFS

Cf. A042518, A040759.

Sequence in context: A232158 A208254 A210817 * A050983 A183576 A002429

Adjacent sequences:  A042516 A042517 A042518 * A042520 A042521 A042522

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Additional term from Colin Barker, Dec 17 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 February 26 11:49 EST 2020. Contains 332279 sequences. (Running on oeis4.)