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%I #16 Mar 19 2017 09:42:41
%S 1,6,7,55,282,1183,6197,44562,50759,349116,16808327,101199078,
%T 118007405,927250913,4754261970,19944298793,104475755935,751274590338,
%U 855750346273,5885776667976,283373030409121,1706123959122702,1989496989531823,15632602885845463
%N Denominators of continued fraction convergents to sqrt(583).
%H Vincenzo Librandi, <a href="/A042117/b042117.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, 16859086, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
%F G.f.: -(x^18 -6*x^17 +7*x^16 -55*x^15 +282*x^14 -1183*x^13 +6197*x^12 -44562*x^11 +50759*x^10 -349116*x^9 -50759*x^8 -44562*x^7 -6197*x^6 -1183*x^5 -282*x^4 -55*x^3 -7*x^2 -6*x -1) / (x^20 -16859086*x^10 +1). - _Colin Barker_, Dec 02 2013
%F a(n) = 16859086*a(n-10) - a(n-20) for n>19. - _Vincenzo Librandi_, Jan 15 2014
%t Denominator[Convergents[Sqrt[583], 30]] (* _Vincenzo Librandi_, Jan 15 2014 *)
%Y Cf. A042116, A040558.
%K nonn,frac,easy
%O 0,2
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Dec 02 2013
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