A041574 Numerators of continued fraction convergents to sqrt(305).

17, 35, 227, 489, 16853, 34195, 222023, 478241, 16482217, 33442675, 217138267, 467719209, 16119591373, 32706901955, 212361003103, 457428908161, 15764943880577, 31987316669315, 207688843896467, 447365004462249, 15418098995612933, 31283562995688115

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,978,0,0,0,-1).

Formula

G.f.: -(x+1)*(x^6-18*x^5+53*x^4-280*x^3-209*x^2-18*x-17) / (x^8-978*x^4+1). - Colin Barker, Nov 09 2013

Mathematica

Numerator[Convergents[Sqrt[305], 30]] (* Vincenzo Librandi, Nov 04 2013 *)
LinearRecurrence[{0, 0, 0, 978, 0, 0, 0, -1}, {17, 35, 227, 489, 16853, 34195, 222023, 478241}, 30] (* Harvey P. Dale, May 14 2023 *)

Crossrefs

Cf. A041575.

Sequence in context: A041570 A041572 A146729 * A144534 A041576 A116112

Adjacent sequences: A041571 A041572 A041573 * A041575 A041576 A041577

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 09 2013

Status

approved