A042621 Denominators of continued fraction convergents to sqrt(839).

1, 1, 28, 29, 1652, 1681, 47039, 48720, 2775359, 2824079, 79025492, 81849571, 4662601468, 4744451039, 132762779521, 137507230560, 7833167690881, 7970674921441, 223041390569788, 231012065491229, 13159717058078612, 13390729123569841, 374709403394464319

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,1680,0,0,0,-1).

Formula

G.f.: -(x^2-x-1)*(x^4+29*x^2+1) / (x^8-1680*x^4+1). - Colin Barker, Dec 20 2013

Mathematica

Denominator[Convergents[Sqrt[839], 30]] (* Vincenzo Librandi, Jan 25 2014 *)
LinearRecurrence[{0, 0, 0, 1680, 0, 0, 0, -1}, {1, 1, 28, 29, 1652, 1681, 47039, 48720}, 30] (* Harvey P. Dale, Jun 21 2024 *)

Crossrefs

Cf. A042620, A040810.

Sequence in context: A042616 A042618 A042620 * A042622 A044977 A046466

Adjacent sequences: A042618 A042619 A042620 * A042622 A042623 A042624

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 20 2013

Status

approved