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

 

Logo

Annual Appeal: Please make a donation to keep the OEIS running. In 2018 we replaced the server with a faster one, added 20000 new sequences, and reached 7000 citations (often saying "discovered thanks to the OEIS").
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A041784 Numerators of continued fraction convergents to sqrt(413). 2
20, 61, 569, 630, 3089, 3719, 36560, 113399, 4572520, 13830959, 129051151, 142882110, 700579591, 843461701, 8291734900, 25718666401, 1037038390940, 3136833839221, 29268542943929, 32405376783150, 158890050076529, 191295426859679, 1880548891813640 (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, 0, 0, 0, 0, 226798, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^15 -20*x^14 +61*x^13 -569*x^12 +630*x^11 -3089*x^10 +3719*x^9 -36560*x^8 -113399*x^7 -36560*x^6 -3719*x^5 -3089*x^4 -630*x^3 -569*x^2 -61*x -20) / (x^16 -226798*x^8 +1). - Colin Barker, Nov 24 2013

MATHEMATICA

Numerator[Convergents[Sqrt[413], 50]] (* Harvey P. Dale, Oct 30 2011 *)

CROSSREFS

Cf. A041785, A040392.

Sequence in context: A219830 A041780 A041782 * A276962 A105092 A112144

Adjacent sequences:  A041781 A041782 A041783 * A041785 A041786 A041787

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 24 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 10 17:32 EST 2018. Contains 318049 sequences. (Running on oeis4.)