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%I #19 May 19 2019 02:28:31
%S 1,1,3,10,53,275,878,2031,2909,141663,144572,430807,1436993,7615772,
%T 39515853,126163331,291842515,418005846,20356123123,20774128969,
%U 61904381061,206487272152,1094340741821,5678190981257,18128913685592,41936018352441,60064932038033
%N Denominators of continued fraction convergents to sqrt(610).
%H Vincenzo Librandi, <a href="/A042171/b042171.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,143694,0,0,0,0,0,0,0,0,1).
%F G.f.: -(x^16 - x^15 + 3*x^14 - 10*x^13 + 53*x^12 - 275*x^11 + 878*x^10 - 2031*x^9 + 2909*x^8 + 2031*x^7 + 878*x^6 + 275*x^5 + 53*x^4 + 10*x^3 + 3*x^2 + x + 1) / (x^18 + 143694*x^9 - 1). - _Colin Barker_, Dec 03 2013
%t Denominator[Convergents[Sqrt[610], 30]] (* _Vincenzo Librandi_, Jan 16 2014 *)
%t LinearRecurrence[{0,0,0,0,0,0,0,0,143694,0,0,0,0,0,0,0,0,1},{1,1,3,10,53,275,878,2031,2909,141663,144572,430807,1436993,7615772,39515853,126163331,291842515,418005846},30] (* _Harvey P. Dale_, Apr 21 2016 *)
%Y Cf. A042170, A040585.
%K nonn,frac,easy
%O 0,3
%A _N. J. A. Sloane_
%E More terms from _Colin Barker_, Dec 03 2013
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