A042549 Denominators of continued fraction convergents to sqrt(803).

1, 2, 3, 83, 86, 255, 14366, 28987, 43353, 1199518, 1242871, 3685260, 207617431, 418920122, 626537553, 17335434053, 17961971606, 53259377265, 3000487098446, 6054233574157, 9054720672603, 250531691734438, 259586412407041, 769704516548520

Offset

0,2

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, 0, 14452, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^10-2*x^9+3*x^8-83*x^7+86*x^6-255*x^5-86*x^4-83*x^3-3*x^2-2*x-1) / (x^12-14452*x^6+1). - Colin Barker, Dec 18 2013

Mathematica

Denominator[Convergents[Sqrt[803], 30]] (* Vincenzo Librandi, Jan 24 2014 *)
LinearRecurrence[{0, 0, 0, 0, 0, 14452, 0, 0, 0, 0, 0, -1}, {1, 2, 3, 83, 86, 255, 14366, 28987, 43353, 1199518, 1242871, 3685260}, 30] (* Harvey P. Dale, Aug 22 2014 *)

Crossrefs

Cf. A042548, A040774.

Sequence in context: A068185 A037391 A037427 * A365291 A182343 A242370

Adjacent sequences: A042546 A042547 A042548 * A042550 A042551 A042552

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 18 2013

Status

approved