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A042895 Denominators of continued fraction convergents to sqrt(979). 2

%I

%S 1,3,7,38,45,218,263,1533,3329,11520,717569,2164227,5046023,27394342,

%T 32440365,157155802,189596167,1105136637,2399869441,8304744960,

%U 517294056961,1560186915843,3637667888647,19748526359078,23386194247725,113293303349978,136679497597703

%N Denominators of continued fraction convergents to sqrt(979).

%H Vincenzo Librandi, <a href="/A042895/b042895.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 720898, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F 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

%F a(n) = 720898*a(n-10) - a(n-20) for n>19. - _Vincenzo Librandi_, Feb 01 2014

%t Denominator[Convergents[Sqrt[979], 30]] (* _Vincenzo Librandi_, Feb 01 2014 *)

%Y Cf. A042894, A040947.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 25 2013

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Last modified March 26 10:18 EDT 2019. Contains 321491 sequences. (Running on oeis4.)