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A042033 Denominators of continued fraction convergents to sqrt(540). 2

%I #15 Sep 05 2022 21:50:47

%S 1,4,17,21,227,248,1219,5124,236923,952816,4048187,5001003,54058217,

%T 59059220,290295097,1220239608,56421317065,226905507868,964043348537,

%U 1190948856405,12873531912587,14064480768992,69131454988555,290590300723212,13436285288256307

%N Denominators of continued fraction convergents to sqrt(540).

%H Vincenzo Librandi, <a href="/A042033/b042033.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 (0,0,0,0,0,0,0,238142,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^14 -4*x^13 +17*x^12 -21*x^11 +227*x^10 -248*x^9 +1219*x^8 -5124*x^7 -1219*x^6 -248*x^5 -227*x^4 -21*x^3 -17*x^2 -4*x -1) / ((x^8 -488*x^4 +1)*(x^8 +488*x^4 +1)). - _Colin Barker_, Nov 29 2013

%F a(n) = 238142*a(n-8) - a(n-16). - _Wesley Ivan Hurt_, Sep 05 2022

%t Denominator[Convergents[Sqrt[540], 30]] (* _Vincenzo Librandi_, Jan 12 2014 *)

%Y Cf. A042032, A040516.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 29 2013

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