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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 to sequences with 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 A186508 A000981

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

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Last modified July 30 05:05 EDT 2014. Contains 245052 sequences.