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Denominators of continued fraction convergents to sqrt(744).
2

%I #14 Jun 13 2015 00:49:45

%S 1,3,4,7,11,18,29,47,76,275,14926,45053,59979,105032,165011,270043,

%T 435054,705097,1140151,4125550,223919851,675885103,899804954,

%U 1575690057,2475495011,4051185068,6526680079,10577865147,17104545226,61891500825,3359245589776

%N Denominators of continued fraction convergents to sqrt(744).

%H Vincenzo Librandi, <a href="/A042433/b042433.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 (0,0,0,0,0,0,0,0,0,15002,0,0,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^18 -3*x^17 +4*x^16 -7*x^15 +11*x^14 -18*x^13 +29*x^12 -47*x^11 +76*x^10 -275*x^9 -76*x^8 -47*x^7 -29*x^6 -18*x^5 -11*x^4 -7*x^3 -4*x^2 -3*x -1) / (x^20 -15002*x^10 +1). - _Colin Barker_, Dec 14 2013

%t Denominator[Convergents[Sqrt[744], 30]] (* _Vincenzo Librandi_, Jan 22 2014 *)

%Y Cf. A042432, A040716.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 14 2013