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A041411 Denominators of continued fraction convergents to sqrt(220). 2

%I #15 Jun 13 2015 00:49:24

%S 1,1,5,6,173,179,889,1068,30793,31861,158237,190098,5480981,5671079,

%T 28165297,33836376,975583825,1009420201,5013264629,6022684830,

%U 173648439869,179671124699,892332938665,1072004063364

%N Denominators of continued fraction convergents to sqrt(220).

%H Vincenzo Librandi, <a href="/A041411/b041411.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 (0,0,0,178,0,0,0,-1).

%F a(n) = 178*a(n-4)-a(n-8). G.f.: -(x^2-x-1)*(x^4+6*x^2+1)/(x^8-178*x^4+1). [_Colin Barker_, Jul 16 2012]

%t Denominator[Convergents[Sqrt[220], 30]] (* _Vincenzo Librandi_, Oct 25 2013 *)

%Y Cf. A041410.

%K nonn,cofr,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

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Last modified April 25 16:45 EDT 2024. Contains 371989 sequences. (Running on oeis4.)