A042657 Denominators of continued fraction convergents to sqrt(858).

1, 3, 7, 24, 1399, 4221, 9841, 33744, 1966993, 5934723, 13836439, 47444040, 2765590759, 8344216317, 19454023393, 66706286496, 3888418640161, 11731962206979, 27352343054119, 93788991369336, 5467113842475607, 16495130518796157, 38457374880067921

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, 1406, 0, 0, 0, -1).

Formula

G.f.: -(x^2-3*x-1)*(x^4+8*x^2+1) / (x^8-1406*x^4+1). - Colin Barker, Dec 20 2013

Mathematica

Denominator[Convergents[Sqrt[858], 30]] (* Vincenzo Librandi, Jan 26 2014 *)
LinearRecurrence[{0, 0, 0, 1406, 0, 0, 0, -1}, {1, 3, 7, 24, 1399, 4221, 9841, 33744}, 30] (* Harvey P. Dale, Feb 19 2021 *)

Crossrefs

Cf. A042656, A040828.

Sequence in context: A300515 A041045 A041563 * A031875 A157817 A118718

Adjacent sequences: A042654 A042655 A042656 * A042658 A042659 A042660

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 20 2013

Status

approved