A042723 Denominators of continued fraction convergents to sqrt(891).

1, 1, 6, 7, 13, 20, 113, 133, 7827, 7960, 47627, 55587, 103214, 158801, 897219, 1056020, 62146379, 63202399, 378158374, 441360773, 819519147, 1260879920, 7123918747, 8384798667, 493442241433, 501827040100, 3002577441933, 3504404482033, 6506981923966

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, 0, 0, 0, 0, 7940, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^2-x-1)*(x^4+7*x^2+1)*(x^8+19*x^4+1) / (x^16-7940*x^8+1). - Colin Barker, Dec 22 2013

Mathematica

Denominator[Convergents[Sqrt[891], 30]] (* Vincenzo Librandi, Jan 27 2014 *)

Crossrefs

Cf. A042722, A040861.

Sequence in context: A041175 A041074 A041749 * A160825 A020689 A128844

Adjacent sequences: A042720 A042721 A042722 * A042724 A042725 A042726

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 22 2013

Status

approved