%I #16 Mar 19 2017 10:40:52

%S 1,3,4,31,841,5918,6759,26195,1421289,4290062,5711351,44269519,

%T 1200988364,8451188067,9652176431,37407717360,2029668913871,

%U 6126414458973,8156083372844,63218998068881,1715069031232631,12068702216697298,13783771247929929,53420015960487085

%N Denominators of continued fraction convergents to sqrt(743).

%H Vincenzo Librandi, <a href="/A042431/b042431.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, 1428048, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^14 -3*x^13 +4*x^12 -31*x^11 +841*x^10 -5918*x^9 +6759*x^8 -26195*x^7 -6759*x^6 -5918*x^5 -841*x^4 -31*x^3 -4*x^2 -3*x -1) / (x^16 -1428048*x^8 +1). - _Colin Barker_, Dec 14 2013

%t Denominator[Convergents[Sqrt[743], 30]] (* _Vincenzo Librandi_, Jan 22 2014 *)

%Y Cf. A042430, A040715.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 14 2013