login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A041146 Numerators of continued fraction convergents to sqrt(83). 2
9, 82, 1485, 13447, 243531, 2205226, 39937599, 361643617, 6549522705, 59307347962, 1074081786021, 9726043422151, 176142863384739, 1595011813884802, 28886355513311175, 261572211433685377, 4737186161319647961, 42896247663310517026, 776869644100908954429 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..70

Index entries for linear recurrences with constant coefficients, signature (0,164,0,-1).

FORMULA

G.f.: -(x^3-9*x^2-82*x-9) / (x^4-164*x^2+1). - Colin Barker, Nov 05 2013

MATHEMATICA

Numerator[Convergents[Sqrt[83], 30]] (* Vincenzo Librandi, Oct 29 2013 *)

LinearRecurrence[{0, 164, 0, -1}, {9, 82, 1485, 13447}, 20] (* Harvey P. Dale, Apr 12 2022 *)

CROSSREFS

Cf. A010534, A041147.

Sequence in context: A338663 A308668 A308481 * A320991 A015497 A174472

Adjacent sequences:  A041143 A041144 A041145 * A041147 A041148 A041149

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 05 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 11 12:12 EDT 2022. Contains 356065 sequences. (Running on oeis4.)