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%I #23 Sep 08 2022 08:44:54
%S 1,1,2,3,26,29,55,84,3079,3163,6242,9405,81482,90887,172369,263256,
%T 9649585,9912841,19562426,29475267,255364562,284839829,540204391,
%U 825044220,30241796311,31066840531,61308636842,92375477373,800312455826,892687933199
%N Denominators of continued fraction convergents to sqrt(348).
%H Vincenzo Librandi, <a href="/A041659/b041659.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 3134, 0, 0, 0, 0, 0, 0, 0, -1).
%F G.f.: -(x^2-x-1)*(x^4+3*x^2+1)*(x^8+28*x^4+1) / ((x^8-56*x^4+1)*(x^8+56*x^4+1)). - _Colin Barker_, Nov 21 2013
%F a(n) = 3134*a(n-8) - a(n-16) for n>15. - _Vincenzo Librandi_, Dec 22 2013
%t Denominator[Convergents[Sqrt[348], 30]] (* _Vincenzo Librandi_, Dec 22 2013 *)
%o (Magma) I:=[1,1,2,3,26,29,55,84,3079,3163,6242,9405, 81482,90887,172369,263256]; [n le 16 select I[n] else 3134*Self(n-8)-Self(n-16): n in [1..40]]; // _Vincenzo Librandi_, Dec 22 2013
%Y Cf. A041658, A040329.
%K nonn,frac,easy
%O 0,3
%A _N. J. A. Sloane_
%E More terms from _Colin Barker_, Nov 21 2013
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