A042721 Denominators of continued fraction convergents to sqrt(890).

1, 1, 5, 6, 353, 359, 1789, 2148, 126373, 128521, 640457, 768978, 45241181, 46010159, 229281817, 275291976, 16196216425, 16471508401, 82082250029, 98553758430, 5798200238969, 5896753997399, 29385216228565, 35281970225964, 2075739489334477, 2111021459560441

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, 358, 0, 0, 0, -1).

Formula

G.f.: -(x^2-x-1)*(x^4+6*x^2+1) / (x^8-358*x^4+1). - Colin Barker, Dec 22 2013

Mathematica

Denominator[Convergents[Sqrt[890], 30]] (* Vincenzo Librandi, Jan 27 2014 *)
LinearRecurrence[{0, 0, 0, 358, 0, 0, 0, -1}, {1, 1, 5, 6, 353, 359, 1789, 2148}, 40] (* Harvey P. Dale, Dec 28 2024 *)

Crossrefs

Cf. A042720, A040860.

Sequence in context: A042387 A007666 A064177 * A246307 A269588 A048658

Adjacent sequences: A042718 A042719 A042720 * A042722 A042723 A042724

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 22 2013

Status

approved