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A041685 Denominators of continued fraction convergents to sqrt(362). 2

%I

%S 1,38,1445,54948,2089469,79454770,3021370729,114891542472,

%T 4368899984665,166133090959742,6317426356454861,240228334636244460,

%U 9134994142533744341,347370005750918529418,13209195212677437862225,502296788087493557293968

%N Denominators of continued fraction convergents to sqrt(362).

%H Vincenzo Librandi, <a href="/A041685/b041685.txt">Table of n, a(n) for n = 0..200</a>

%H Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (38,1).

%F a(n)=F(n, 38), the n-th Fibonacci polynomial evaluated at x=38. - _T. D. Noe_, Jan 19 2006

%F a(n)=38*a(n-1)+a(n-2), n>1 ; a(0)=1, a(1)=38 . G.f.: 1/(1-38*x-x^2). [_Philippe Deléham_, Nov 23 2008]

%t a=0;lst={};s=0;Do[a=s-(a-1);AppendTo[lst,a];s+=a*38,{n,3*4!}];lst (* _Vladimir Joseph Stephan Orlovsky_, Nov 03 2009 *)

%t Denominator[Convergents[Sqrt[362], 30]] (* _Vincenzo Librandi_, Dec 22 2013 *)

%t LinearRecurrence[{38,1},{1,38},30] (* _Harvey P. Dale_, May 23 2017 *)

%Y Cf. A041684, A040342.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 21 2013

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Last modified November 15 19:18 EST 2019. Contains 329149 sequences. (Running on oeis4.)