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

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A041158 Numerators of continued fraction convergents to sqrt(89). 2
9, 19, 66, 217, 500, 9217, 18934, 66019, 216991, 500001, 9217009, 18934019, 66019066, 216991217, 500001500, 9217018217, 18934037934, 66019132019, 216991433991, 500002000001, 9217027434009, 18934056868019, 66019198038066, 216991650982217, 500002500002500 (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 (0,0,0,0,1000,0,0,0,0,1).

FORMULA

G.f.: -(x^9-9*x^8+19*x^7-66*x^6+217*x^5+500*x^4+217*x^3+66*x^2+19*x+9) / (x^10+1000*x^5-1). - Colin Barker, Nov 05 2013

MATHEMATICA

Numerator[Convergents[Sqrt[89], 30]] (* Harvey P. Dale, Jul 29 2012 *)

CROSSREFS

Cf. A010540, A041159.

Sequence in context: A048696 A046103 A146459 * A146080 A259093 A186508

Adjacent sequences:  A041155 A041156 A041157 * A041159 A041160 A041161

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

License Agreements, Terms of Use, Privacy Policy .

Last modified December 10 23:07 EST 2016. Contains 279021 sequences.