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%I #13 Sep 08 2022 08:44:55
%S 22,23,1034,1057,47542,48599,2185898,2234497,100503766,102738263,
%T 4620987338,4723725601,212464913782,217188639383,9768765046634,
%U 9985953686017,449150727231382,459136680917399
%N Numerators of continued fraction convergents to sqrt(528).
%H Vincenzo Librandi, <a href="/A042010/b042010.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 (0,46,0,-1).
%F G.f.: -(x^3-22*x^2-23*x-22)/(x^4-46*x^2+1). - _Vincenzo Librandi_, Nov 13 2013
%F a(n) = 46*a(n-2)-a(n-4). - _Vincenzo Librandi_, Nov 13 2013
%t Numerator[Convergents[Sqrt[528], 30]] (* or *) CoefficientList[Series[-(x^3 - 22 x^2 - 23 x - 22)/(x^4 - 46 x^2 + 1), {x, 0, 30}], x] (* _Vincenzo Librandi_, Nov 13 2013 *)
%o (Magma) I:=[22, 23, 1034, 1057]; [n le 4 select I[n] else 46*Self(n-2)-Self(n-4): n in [1..25]]; // _Vincenzo Librandi_, Nov 13 2013
%Y Cf. A042011.
%K nonn,cofr,frac,easy,less
%O 0,1
%A _N. J. A. Sloane_.
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