A042569 Denominators of continued fraction convergents to sqrt(813).

1, 1, 2, 37, 39, 76, 4295, 4371, 8666, 160359, 169025, 329384, 18614529, 18943913, 37558442, 694995869, 732554311, 1427550180, 80675364391, 82102914571, 162778278962, 3012111935887, 3174890214849, 6187002150736, 349647010656065, 355834012806801

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,4334,0,0,0,0,0,-1).

Formula

G.f.: -(x^4-x^3+2*x^2+x+1)*(x^6-38*x^3-1) / (x^12-4334*x^6+1). - Colin Barker, Dec 18 2013

Mathematica

Denominator[Convergents[Sqrt[813], 30]] (* Vincenzo Librandi, Jan 25 2014 *)
LinearRecurrence[{0, 0, 0, 0, 0, 4334, 0, 0, 0, 0, 0, -1}, {1, 1, 2, 37, 39, 76, 4295, 4371, 8666, 160359, 169025, 329384}, 30] (* Harvey P. Dale, Dec 23 2015 *)

Crossrefs

Cf. A042568, A040784.

Sequence in context: A346067 A375171 A290803 * A066196 A107180 A162577

Adjacent sequences: A042566 A042567 A042568 * A042570 A042571 A042572

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 18 2013

Status

approved