A041576 Numerators of continued fraction convergents to sqrt(306).

17, 35, 1207, 2449, 84473, 171395, 5911903, 11995201, 413748737, 839492675, 28956499687, 58752492049, 2026541229353, 4111834950755, 141828929555023, 287769694060801, 9925998527622257, 20139766749305315, 694678068004002967, 1409495902757311249

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, 70, 0, -1).

Formula

G.f.: -(x+1)*(x^2-18*x-17) / (x^4-70*x^2+1). - Colin Barker, Nov 09 2013

Mathematica

Numerator[Convergents[Sqrt[306], 20]] (* Harvey P. Dale, May 03 2012 *)

Crossrefs

Cf. A041577.

Sequence in context: A146729 A041574 A144534 * A116112 A190755 A098849

Adjacent sequences: A041573 A041574 A041575 * A041577 A041578 A041579

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 09 2013

Status

approved