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%I #18 May 09 2021 21:49:33
%S 1,1,5,11,49,60,1249,1309,6485,14279,63601,77880,1621201,1699081,
%T 8417525,18534131,82554049,101088180,2104317649,2205405829,
%U 10925940965,24057287759,107155092001,131212379760
%N Denominators of continued fraction convergents to sqrt(117).
%H Vincenzo Librandi, <a href="/A041213/b041213.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 (0,0,0,0,0,1298,0,0,0,0,0,-1).
%F From _Colin Barker_, Jul 19 2012: (Start)
%F a(n) = 1298*a(n-6) - a(n-12).
%F G.f.: -(x^10 - x^9 + 5*x^8 - 11*x^7 + 49*x^6 - 60*x^5 - 49*x^4 - 11*x^3 - 5*x^2 - x - 1)/((x^2 - 3*x - 1)*(x^2 + 3*x - 1)*(x^4 - 3*x^3 + 10*x^2 + 3*x + 1)*(x^4 + 3*x^3 + 10*x^2 - 3*x + 1)). (End)
%t Denominator[Convergents[Sqrt[117], 30]] (* _Vincenzo Librandi_, Oct 24 2013 *)
%Y Cf. A041212, A010182.
%K nonn,cofr,frac,easy
%O 0,3
%A _N. J. A. Sloane_
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