A041632 Numerators of continued fraction convergents to sqrt(335).

18, 55, 183, 604, 21927, 66385, 221082, 729631, 26487798, 80193025, 267066873, 881393644, 31997238057, 96873107815, 322616561502, 1064722792321, 38652637085058, 117022634047495, 389720539227543, 1286184251730124, 46692353601512007, 141363245056266145

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, 1208, 0, 0, 0, -1).

Formula

G.f.: -(x^7-18*x^6+55*x^5-183*x^4-604*x^3-183*x^2-55*x-18) / (x^8-1208*x^4+1). - Colin Barker, Nov 09 2013

Mathematica

Numerator[Convergents[Sqrt[335], 30]] (* Vincenzo Librandi, Nov 05 2013 *)
LinearRecurrence[{0, 0, 0, 1208, 0, 0, 0, -1}, {18, 55, 183, 604, 21927, 66385, 221082, 729631}, 30] (* Harvey P. Dale, Mar 03 2020 *)

Crossrefs

Cf. A041633.

Sequence in context: A041630 A088593 A033571 * A086540 A041634 A044975

Adjacent sequences: A041629 A041630 A041631 * A041633 A041634 A041635

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 09 2013

Status

approved