A042475 - OEIS

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

%S 1,1,2,3,41,249,3278,3527,6805,10332,564733,575065,1139798,1714863,

%T 23433017,142312965,1873501562,2015814527,3889316089,5905130616,

%U 322766369353,328671499969,651437869322,980109369291,13392859670105,81337267389921,1070777335739078

%N Denominators of continued fraction convergents to sqrt(765).

%H Vincenzo Librandi, <a href="/A042475/b042475.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 (0,0,0,0,0,0,0,0,0,571538,0,0,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^18 -x^17 +2*x^16 -3*x^15 +41*x^14 -249*x^13 +3278*x^12 -3527*x^11 +6805*x^10 -10332*x^9 -6805*x^8 -3527*x^7 -3278*x^6 -249*x^5 -41*x^4 -3*x^3 -2*x^2 -x -1) / ((x^10 -756*x^5 -1)*(x^10 +756*x^5 -1)). - _Colin Barker_, Dec 15 2013

%t Denominator[Convergents[Sqrt[765], 30]] (* _Vincenzo Librandi_, Jan 23 2014 *)

%Y Cf. A042474, A040737.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 15 2013