A041158 Numerators of continued fraction convergents to sqrt(89).

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

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: A146459 A308025 A360429 * A146080 A334640 A259093

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