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A042829 Denominators of continued fraction convergents to sqrt(945). 2
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 (list; graph; refs; listen; history; text; internal format)
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: A157163 A042225 A094084 * 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

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Last modified March 19 13:37 EDT 2019. Contains 321330 sequences. (Running on oeis4.)