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A041329 Denominators of continued fraction convergents to sqrt(178). 2

%I

%S 1,2,3,38,41,120,3161,6442,9603,121678,131281,384240,10121521,

%T 20627282,30748803,389612918,420361721,1230336360,32409107081,

%U 66048550522,98457657603,1247540441758,1345998099361,3939536640480,103773950751841,211487438144162

%N Denominators of continued fraction convergents to sqrt(178).

%H Vincenzo Librandi, <a href="/A041329/b041329.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 (0,0,0,0,0,3202,0,0,0,0,0,-1).

%F G.f.: -(x^10-2*x^9+3*x^8-38*x^7+41*x^6-120*x^5-41*x^4-38*x^3-3*x^2-2*x-1) / (x^12-3202*x^6+1). - _Colin Barker_, Nov 15 2013

%F a(n) = 3202*a(n-6) - a(n-12). - _Vincenzo Librandi_, Dec 15 2013

%t Denominator[Convergents[Sqrt[178], 30]] (* _Vincenzo Librandi_, Dec 15 2013 *)

%o (MAGMA) I:=[1,2,3,38,41,120,3161,6442,9603,121678, 131281,384240]; [n le 12 select I[n] else 3202*Self(n-6)-Self(n-12): n in [1..40]]; // _Vincenzo Librandi_, Dec 15 2013

%Y Cf. A041328, A010222.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 15 2013

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Last modified September 21 22:12 EDT 2019. Contains 327284 sequences. (Running on oeis4.)