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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A041516 Numerators of continued fraction convergents to sqrt(275). 2
16, 17, 33, 83, 116, 199, 6484, 6683, 13167, 33017, 46184, 79201, 2580616, 2659817, 5240433, 13140683, 18381116, 31521799, 1027078684, 1058600483, 2085679167, 5229958817, 7315637984, 12545596801, 408774735616, 421320332417, 830095068033, 2081510468483 (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, 398, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^11 -16*x^10 +17*x^9 -33*x^8 +83*x^7 -116*x^6 -199*x^5 -116*x^4 -83*x^3 -33*x^2 -17*x -16) / ((x^6 -20*x^3 +1)*(x^6 +20*x^3 +1)). - Colin Barker, Nov 07 2013

MATHEMATICA

Numerator[Convergents[Sqrt[275], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

CROSSREFS

Cf. A041517.

Sequence in context: A042195 A041520 A058542 * A041514 A041512 A267029

Adjacent sequences:  A041513 A041514 A041515 * A041517 A041518 A041519

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified June 23 09:44 EDT 2018. Contains 305694 sequences. (Running on oeis4.)