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%I #16 Sep 08 2022 08:44:53
%S 1,1,7,8,119,127,881,1008,14993,16001,110999,127000,1888999,2015999,
%T 13984993,16000992,237998881,253999873,1761998119,2015997992,
%U 29985970007,32001967999,221997778001,253999746000,3777994222001,4031993968001,27969958030007
%N Denominators of continued fraction convergents to sqrt(62).
%H Vincenzo Librandi, <a href="/A041109/b041109.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 (0,0,0,126,0,0,0,-1).
%F G.f.: -(x^2-x-1)*(x^4+8*x^2+1) / (x^8-126*x^4+1). - _Colin Barker_, Nov 12 2013
%F a(n) = 126*a(n-4) - a(n-8). - _Vincenzo Librandi_, Dec 11 2013
%t Denominator[Convergents[Sqrt[62], 30]] (* _Vincenzo Librandi_, Dec 11 2013 *)
%t LinearRecurrence[{0,0,0,126,0,0,0,-1},{1,1,7,8,119,127,881,1008},30] (* _Harvey P. Dale_, Oct 26 2016 *)
%o (Magma) I:=[1, 1, 7, 8, 119, 127, 881, 1008]; [n le 8 select I[n] else 126*Self(n-4)-Self(n-8): n in [1..40]]; // _Vincenzo Librandi_, Dec 11 2013
%Y Cf. A041108, A010146, A020819, A010515.
%K nonn,cofr,easy,frac
%O 0,3
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 12 2013
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