A042866 Numerators of continued fraction convergents to sqrt(965).

31, 466, 497, 963, 14942, 927367, 13925447, 14852814, 28778261, 446526729, 27713435459, 416148058614, 443861494073, 860009552687, 13344004784378, 828188306184123, 12436168597546223, 13264356903730346, 25700525501276569, 398772239422878881

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, 29884, 0, 0, 0, 0, 1).

Formula

G.f.: -(x^9-31*x^8+466*x^7-497*x^6+963*x^5+14942*x^4+963*x^3+497*x^2+466*x+31) / (x^10+29884*x^5-1). - Colin Barker, Dec 25 2013

Mathematica

Numerator[Convergents[Sqrt[965], 30]] (* Vincenzo Librandi, Dec 08 2013 *)

Crossrefs

Cf. A042867, A040933.

Sequence in context: A160894 A010947 A022626 * A110824 A161636 A161977

Adjacent sequences: A042863 A042864 A042865 * A042867 A042868 A042869

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Dec 25 2013

Status

approved