A042825 Denominators of continued fraction convergents to sqrt(943).

1, 1, 3, 7, 17, 24, 1457, 1481, 4419, 10319, 25057, 35376, 2147617, 2182993, 6513603, 15210199, 36934001, 52144200, 3165586001, 3217730201, 9601046403, 22419823007, 54440692417, 76860515424, 4666071617857, 4742932133281, 14151935884419, 33046803902119

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, 1474, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^10-x^9+3*x^8-7*x^7+17*x^6-24*x^5-17*x^4-7*x^3-3*x^2-x-1) / (x^12-1474*x^6+1). - Colin Barker, Dec 24 2013

Mathematica

Denominator[Convergents[Sqrt[943], 30]] (* Vincenzo Librandi, Jan 30 2014 *)

Crossrefs

Cf. A042824, A040912.

Sequence in context: A085396 A041077 A041663 * A076033 A029519 A045424

Adjacent sequences: A042822 A042823 A042824 * A042826 A042827 A042828

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 24 2013

Status

approved