A042527 Denominators of continued fraction convergents to sqrt(792).

1, 7, 393, 2758, 154841, 1086645, 61006961, 428135372, 24036587793, 168684249923, 9470354583481, 66461166334290, 3731295669303721, 26185530851460337, 1470121023351082593, 10317032694309038488, 579223951904657237921, 4064884696026909703935

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,394,0,-1).

Formula

G.f.: -(x^2-7*x-1) / (x^4-394*x^2+1). - Colin Barker, Dec 17 2013

Mathematica

Denominator/@Convergents[Sqrt[792], 30] (* Harvey P. Dale, Jun 17 2011 *)
CoefficientList[Series[(1 + 7 x - x^2)/(x^4 - 394 x^2 + 1), {x, 0, 25}], x] (* Vincenzo Librandi, Jan 23 2014 *)

Crossrefs

Cf. A042526, A040763.

Sequence in context: A222893 A009712 A128793 * A203588 A015022 A225167

Adjacent sequences: A042524 A042525 A042526 * A042528 A042529 A042530

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 17 2013

Status

approved