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%I #15 May 15 2022 10:58:21
%S 1,3,7,31,69,238,11493,34717,80927,358425,797777,2751756,132882065,
%T 401397951,935677967,4144109819,9223897605,31815802634,1536382424037,
%U 4640963074745,10818308573527,47914197368853,106646703311233,367854307302552,17763653453833729
%N Denominators of continued fraction convergents to sqrt(590).
%H Vincenzo Librandi, <a href="/A042131/b042131.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 (0,0,0,0,0,11562,0,0,0,0,0,-1).
%F G.f.: -(x^10-3*x^9+7*x^8-31*x^7+69*x^6-238*x^5-69*x^4-31*x^3-7*x^2-3*x-1) / (x^12-11562*x^6+1). - _Colin Barker_, Dec 02 2013
%F a(n) = 11562*a(n-6) - a(n-12) for n>11. - _Vincenzo Librandi_, Jan 15 2014
%t Denominator[Convergents[Sqrt[590], 30]] (* _Vincenzo Librandi_, Jan 15 2014 *)
%t LinearRecurrence[{0,0,0,0,0,11562,0,0,0,0,0,-1},{1,3,7,31,69,238,11493,34717,80927,358425,797777,2751756},30] (* _Harvey P. Dale_, May 15 2022 *)
%Y Cf. A042130, A040565.
%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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