

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
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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^99*x^8+19*x^766*x^6+217*x^5+500*x^4+217*x^3+66*x^2+19*x+9) / (x^10+1000*x^51).  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



