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A042895 Denominators of continued fraction convergents to sqrt(979). 2
1, 3, 7, 38, 45, 218, 263, 1533, 3329, 11520, 717569, 2164227, 5046023, 27394342, 32440365, 157155802, 189596167, 1105136637, 2399869441, 8304744960, 517294056961, 1560186915843, 3637667888647, 19748526359078, 23386194247725, 113293303349978, 136679497597703 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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, 720898, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^18 -3*x^17 +7*x^16 -38*x^15 +45*x^14 -218*x^13 +263*x^12 -1533*x^11 +3329*x^10 -11520*x^9 -3329*x^8 -1533*x^7 -263*x^6 -218*x^5 -45*x^4 -38*x^3 -7*x^2 -3*x -1) / (x^20 -720898*x^10 +1). - Colin Barker, Dec 25 2013

a(n) = 720898*a(n-10) - a(n-20) for n>19. - Vincenzo Librandi, Feb 01 2014

MATHEMATICA

Denominator[Convergents[Sqrt[979], 30]] (* Vincenzo Librandi, Feb 01 2014 *)

CROSSREFS

Cf. A042894, A040947.

Sequence in context: A174734 A152560 A162926 * A173561 A258840 A209029

Adjacent sequences:  A042892 A042893 A042894 * A042896 A042897 A042898

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 25 2013

STATUS

approved

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Last modified February 17 15:19 EST 2019. Contains 320220 sequences. (Running on oeis4.)