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%I #17 Sep 05 2022 21:46:07
%S 1,3,10,33,43,635,678,2669,8685,28724,1329989,4018691,13386062,
%T 44176877,57562939,850058023,907620962,3572920909,11626383689,
%U 38452071976,1780421694585,5379717155731,17919573161778,59138436641065,77058009802843,1137950573880867
%N Denominators of continued fraction convergents to sqrt(543).
%H Vincenzo Librandi, <a href="/A042039/b042039.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, 1338674, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
%F G.f.: -(x^18 -3*x^17 +10*x^16 -33*x^15 +43*x^14 -635*x^13 +678*x^12 -2669*x^11 +8685*x^10 -28724*x^9 -8685*x^8 -2669*x^7 -678*x^6 -635*x^5 -43*x^4 -33*x^3 -10*x^2 -3*x -1) / (x^20 -1338674*x^10 +1). - _Colin Barker_, Nov 30 2013
%F a(n) = 1338674*a(n-10) - a(n-20). - _Wesley Ivan Hurt_, Sep 05 2022
%t Denominator[Convergents[Sqrt[543], 30]] (* _Vincenzo Librandi_, Jan 12 2014 *)
%Y Cf. A042038, A040519.
%K nonn,frac,easy
%O 0,2
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 30 2013
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