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%I #17 Sep 08 2022 08:44:54
%S 1,2,5,12,461,934,2329,5592,214825,435242,1085309,2605860,100107989,
%T 202821838,505751665,1214325168,46650108049,94514541266,235679190581,
%U 565872922428,21738850242845,44043573408118,109825997059081,263695567526280,10130257563057721
%N Denominators of continued fraction convergents to sqrt(377).
%H Vincenzo Librandi, <a href="/A041715/b041715.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 (0,0,0,466,0,0,0,-1).
%F G.f.: -(x^2-2*x-1)*(x^4+6*x^2+1) / (x^8-466*x^4+1). - _Colin Barker_, Nov 22 2013
%F a(n) = 466*a(n-4) - a(n-8) for n>7. - _Vincenzo Librandi_, Dec 23 2013
%t Denominator[Convergents[Sqrt[377], 30]] (* _Vincenzo Librandi_, Dec 23 2013 *)
%t LinearRecurrence[{0,0,0,466,0,0,0,-1},{1,2,5,12,461,934,2329,5592},40] (* _Harvey P. Dale_, Jul 24 2019 *)
%o (Magma) I:=[1,2,5,12,461,934,2329,5592]; [n le 8 select I[n] else 466*Self(n-4)-Self(n-8): n in [1..40]]; // _Vincenzo Librandi_, Dec 23 2013
%Y Cf. A041714, A040357.
%K nonn,frac,easy
%O 0,2
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 22 2013
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