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!)
A041498 Numerators of continued fraction convergents to sqrt(266). 2
16, 49, 212, 685, 22132, 67081, 290456, 938449, 30320824, 91900921, 397924508, 1285674445, 41539506748, 125904194689, 545156285504, 1761373051201, 56909093923936, 172488654823009, 746863713215972, 2413079794470925, 77965417136285572, 236309331203327641 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,1370,0,0,0,-1).

FORMULA

G.f.: -(x^7-16*x^6+49*x^5-212*x^4-685*x^3-212*x^2-49*x-16) / (x^8-1370*x^4+1). - Colin Barker, Nov 07 2013

MATHEMATICA

Numerator[Convergents[Sqrt[266], 30]] (* Vincenzo Librandi, Nov 03 2013 *)

LinearRecurrence[{0, 0, 0, 1370, 0, 0, 0, -1}, {16, 49, 212, 685, 22132, 67081, 290456, 938449}, 30] (* Harvey P. Dale, Sep 02 2015 *)

CROSSREFS

Cf. A041499.

Sequence in context: A105823 A112630 A039606 * A264479 A104992 A153483

Adjacent sequences:  A041495 A041496 A041497 * A041499 A041500 A041501

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 07 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 September 24 04:10 EDT 2020. Contains 337316 sequences. (Running on oeis4.)