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%I #16 Sep 08 2022 08:44:54
%S 1,2,5,112,229,570,12769,26108,64985,1455778,2976541,7408860,
%T 165971461,339351782,844675025,18922202332,38689079689,96300361710,
%U 2157297037309,4410894436328,10979085909965,245950784455558,502880654821081,1251712094097720
%N Denominators of continued fraction convergents to sqrt(130).
%H Vincenzo Librandi, <a href="/A041237/b041237.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 (0,0,114,0,0,1).
%F G.f.: -(x^4-2*x^3+5*x^2+2*x+1) / (x^6+114*x^3-1). - _Colin Barker_, Nov 14 2013
%F a(n) = 114*a(n-3) + a(n-6). - _Vincenzo Librandi_, Dec 13 2013
%t Denominator[Convergents[Sqrt[130], 30]] (* _Vincenzo Librandi_, Dec 13 2013 *)
%o (Magma) I:=[ 1, 2, 5, 112, 229, 570 ]; [n le 6 select I[n] else 114*Self(n-3)+Self(n-6): n in [1..40]]; // _Vincenzo Librandi_, Dec 13 2013
%Y Cf. A041236, A040118.
%K nonn,frac,easy
%O 0,2
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 14 2013
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