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%I #15 Sep 08 2022 08:44:55
%S 1,1,25,26,1325,1351,33749,35100,1788749,1823849,45561125,47384974,
%T 2414809825,2462194799,61507485001,63969679800,3259991475001,
%U 3323961154801,83035059190225,86359020345026,4400986076441525,4487345096786551,112097268399318749
%N Denominators of continued fraction convergents to sqrt(674).
%H Vincenzo Librandi, <a href="/A042297/b042297.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 (0,0,0,1350,0,0,0,-1).
%F G.f.: -(x^2-x-1)*(x^4+26*x^2+1) / (x^8-1350*x^4+1). - _Colin Barker_, Dec 07 2013
%F a(n) = 1350*a(n-4) - a(n-8) for n>7. - _Vincenzo Librandi_, Jan 19 2014
%t Denominator[Convergents[Sqrt[674], 30]] (* _Vincenzo Librandi_, Jan 19 2014 *)
%o (Magma) I:=[1,1,25,26,1325,1351,33749,35100]; [n le 8 select I[n] else 1350*Self(n-4)-Self(n-8): n in [1..40]]; // _Vincenzo Librandi_, Jan 19 2014
%Y Cf. A042296, A040648.
%K nonn,frac,easy
%O 0,3
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Dec 07 2013
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