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A042175 Denominators of continued fraction convergents to sqrt(612). 2

%I #19 May 19 2019 02:28:35

%S 1,1,3,4,19,23,65,88,4289,4377,13043,17420,82723,100143,283009,383152,

%T 18674305,19057457,56789219,75846676,360175923,436022599,1232221121,

%U 1668243720,81307919681,82976163401,247260246483,330236409884,1568205886019,1898442295903

%N Denominators of continued fraction convergents to sqrt(612).

%H Vincenzo Librandi, <a href="/A042175/b042175.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 4354, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^2 - x - 1)*(x^4 + 4*x^2 + 1)*(x^8 + 22*x^4 + 1) / ((x^4 - 8*x^2 - 1)*(x^4 + 8*x^2 - 1)*(x^8 + 66*x^4 + 1)). - _Colin Barker_, Dec 03 2013

%t Denominator[Convergents[Sqrt[612], 30]] (* _Vincenzo Librandi_, Jan 16 2014 *)

%Y Cf. A042174, A040587.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_

%E More terms from _Colin Barker_, Dec 03 2013

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Last modified August 30 00:57 EDT 2024. Contains 375520 sequences. (Running on oeis4.)