A042551 Denominators of continued fraction convergents to sqrt(804).

1, 2, 3, 14, 31, 572, 1175, 5272, 6447, 18166, 1023743, 2065652, 3089395, 14423232, 31935859, 589268694, 1210473247, 5431161682, 6641634929, 18714431540, 1054649801169, 2128014033878, 3182663835047, 14858669374066, 32900002583179, 607058715871288

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, 0, 0, 0, 0, 1030190, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^18 -2*x^17 +3*x^16 -14*x^15 +31*x^14 -572*x^13 +1175*x^12 -5272*x^11 +6447*x^10 -18166*x^9 -6447*x^8 -5272*x^7 -1175*x^6 -572*x^5 -31*x^4 -14*x^3 -3*x^2 -2*x -1) / (x^20 -1030190*x^10 +1). - Colin Barker, Dec 18 2013

Mathematica

Denominator[Convergents[Sqrt[804], 30]] (* Vincenzo Librandi, Jan 24 2014 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 1030190, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {1, 2, 3, 14, 31, 572, 1175, 5272, 6447, 18166, 1023743, 2065652, 3089395, 14423232, 31935859, 589268694, 1210473247, 5431161682, 6641634929, 18714431540}, 30] (* Harvey P. Dale, Nov 16 2020 *)

Crossrefs

Cf. A042550, A040775.

Sequence in context: A338513 A080017 A306267 * A296149 A355176 A346606

Adjacent sequences: A042548 A042549 A042550 * A042552 A042553 A042554

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 18 2013

Status

approved