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A042285 Denominators of continued fraction convergents to sqrt(668). 2

%I #15 Mar 09 2023 15:11:27

%S 1,1,6,13,162,337,1847,2184,111047,113231,677202,1467635,18288822,

%T 38045279,208515217,246560496,12536540017,12783100513,76452042582,

%U 165687185677,2064698270706,4295083727089,23540116906151,27835200633240,1415300148568151

%N Denominators of continued fraction convergents to sqrt(668).

%H Vincenzo Librandi, <a href="/A042285/b042285.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,112894,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^14 -x^13 +6*x^12 -13*x^11 +162*x^10 -337*x^9 +1847*x^8 -2184*x^7 -1847*x^6 -337*x^5 -162*x^4 -13*x^3 -6*x^2 -x -1) / ((x^8 -336*x^4 +1)*(x^8 +336*x^4 +1)). - _Colin Barker_, Dec 07 2013

%F a(n) = 112894*a(n-8) - a(n-16). - _Wesley Ivan Hurt_, Mar 09 2023

%t Denominator[Convergents[Sqrt[668], 30]] (* _Vincenzo Librandi_, Jan 19 2014 *)

%Y Cf. A042284, A040642.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 07 2013

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Last modified April 19 06:44 EDT 2024. Contains 371782 sequences. (Running on oeis4.)