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%I #20 Sep 08 2022 08:44:54
%S 1,1,6,7,286,293,1751,2044,83511,85555,511286,596841,24384926,
%T 24981767,149293761,174275528,7120314881,7294590409,43593266926,
%U 50887857335,2079107560326,2129995417661,12729084648631,14859080066292,607092287300311,621951367366603
%N Denominators of continued fraction convergents to sqrt(435).
%H Vincenzo Librandi, <a href="/A041829/b041829.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, 292, 0, 0, 0, -1).
%F G.f.: -(x^2-x-1)*(x^4+7*x^2+1) / (x^8-292*x^4+1). - _Colin Barker_, Nov 25 2013
%F a(n) = 292*a(n-4) - a(n-8) for n>7. - _Vincenzo Librandi_, Dec 25 2013
%t Denominator[Convergents[Sqrt[435], 30]] (* _Vincenzo Librandi_, Dec 25 2013 *)
%t LinearRecurrence[{0,0,0,292,0,0,0,-1},{1,1,6,7,286,293,1751,2044},30] (* _Harvey P. Dale_, Apr 23 2022 *)
%o (Magma) I:=[1,1,6,7,286,293,1751,2044]; [n le 8 select I[n] else 292*Self(n-4)-Self(n-8): n in [1..40]]; // _Vincenzo Librandi_, Dec 25 2013
%Y Cf. A041828, A040414.
%K nonn,frac,easy
%O 0,3
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 25 2013
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