A042515 Denominators of continued fraction convergents to sqrt(786).

1, 28, 1569, 43960, 2463329, 69017172, 3867424961, 108356916080, 6071854725441, 170120289228428, 9532808051517409, 267088745731715880, 14966502569027606689, 419329160678504703172, 23497399500565290984321, 658346515176506652264160, 36890902249384937817777281

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,1570,0,-1).

Formula

G.f.: -(x^2-28*x-1) / (x^4-1570*x^2+1). - Colin Barker, Dec 17 2013

Mathematica

Denominator[Convergents[Sqrt[786], 30]] (* Vincenzo Librandi, Jan 23 2014 *)

Crossrefs

Cf. A042514, A040757.

Sequence in context: A110696 A007222 A209265 * A042512 A285029 A163033

Adjacent sequences: A042512 A042513 A042514 * A042516 A042517 A042518

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 17 2013

Status

approved