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Denominators of continued fraction convergents to sqrt(648).
2

%I #18 May 21 2019 03:48:03

%S 1,2,11,68,351,770,38851,78472,431211,2665738,13759901,30185540,

%T 1523036901,3076259342,16904333611,104502261008,539415638651,

%U 1183333538310,59706092554151,120595518646612,662683685787211,4096697633369878,21146171852636601

%N Denominators of continued fraction convergents to sqrt(648).

%H Vincenzo Librandi, <a href="/A042245/b042245.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,39202,0,0,0,0,0,-1).

%F G.f.: -(x^10 - 2*x^9 + 11*x^8 - 68*x^7 + 351*x^6 - 770*x^5 - 351*x^4 - 68*x^3 - 11*x^2 - 2*x - 1) / ((x^2 - 6*x + 1)*(x^2 + 6*x + 1)*(x^4 - 6*x^3 + 35*x^2 - 6*x + 1)*(x^4 + 6*x^3 + 35*x^2 + 6*x + 1)). - _Colin Barker_, Dec 05 2013

%t Denominator[Convergents[Sqrt[648], 30]] (* _Vincenzo Librandi_, Jan 18 2014 *)

%Y Cf. A042244, A040622.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_

%E More terms from _Colin Barker_, Dec 05 2013