A042829 Denominators of continued fraction convergents to sqrt(945).

1, 1, 3, 4, 27, 328, 1995, 2323, 6641, 8964, 544481, 553445, 1651371, 2204816, 14880267, 180768020, 1099488387, 1280256407, 3660001201, 4940257608, 300075457681, 305015715289, 910106888259, 1215122603548, 8200842509547, 99625232718112, 605952238818219

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,551122,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^18 -x^17 +3*x^16 -4*x^15 +27*x^14 -328*x^13 +1995*x^12 -2323*x^11 +6641*x^10 -8964*x^9 -6641*x^8 -2323*x^7 -1995*x^6 -328*x^5 -27*x^4 -4*x^3 -3*x^2 -x -1) / (x^20 -551122*x^10 +1). - Colin Barker, Dec 24 2013

Mathematica

Denominator[Convergents[Sqrt[945], 30]] (* Vincenzo Librandi, Jan 30 2014 *)

Crossrefs

Cf. A042828, A040914.

Sequence in context: A094084 A362887 A367388 * A232110 A140896 A005326

Adjacent sequences: A042826 A042827 A042828 * A042830 A042831 A042832

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 24 2013

Status

approved