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%I #18 Sep 08 2022 08:44:55
%S 1,1,22,23,1034,1057,23231,24288,1091903,1116191,24531914,25648105,
%T 1153048534,1178696639,25905677953,27084374592,1217618160001,
%U 1244702534593,27356371386454,28601073921047,1285803623912522,1314404697833569,28888302278417471
%N Denominators of continued fraction convergents to sqrt(527).
%H Vincenzo Librandi, <a href="/A042009/b042009.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 1056, 0, 0, 0, -1).
%F G.f.: -(x^2-x-1)*(x^4+23*x^2+1) / (x^8-1056*x^4+1). - _Colin Barker_, Nov 28 2013
%F a(n) = 1056*a(n-4) - a(n-8) for n>7. - _Vincenzo Librandi_, Jan 12 2014
%t Denominator[Convergents[Sqrt[527], 40]] (* _Vincenzo Librandi_, Jan 12 2014 *)
%o (Magma) I:=[1,1,22,23,1034,1057,23231,24288]; [n le 8 select I[n] else 1056*Self(n-4)-Self(n-8): n in [1..30]]; // _Vincenzo Librandi_, Jan 12 2014
%Y Cf. A042008, A040504.
%K nonn,frac,easy,less
%O 0,3
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 28 2013
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