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A042357 Denominators of continued fraction convergents to sqrt(705). 2

%I #16 Mar 19 2017 10:33:09

%S 1,1,2,9,29,299,926,4003,4929,8932,469393,478325,947718,4269197,

%T 13755309,141822287,439222170,1898710967,2337933137,4236644104,

%U 222643426545,226880070649,449523497194,2024974059425,6524445675469,67269430814115,208332738117814

%N Denominators of continued fraction convergents to sqrt(705).

%H Vincenzo Librandi, <a href="/A042357/b042357.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 474322, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^18 -x^17 +2*x^16 -9*x^15 +29*x^14 -299*x^13 +926*x^12 -4003*x^11 +4929*x^10 -8932*x^9 -4929*x^8 -4003*x^7 -926*x^6 -299*x^5 -29*x^4 -9*x^3 -2*x^2 -x -1) / (x^20 -474322*x^10 +1). - _Colin Barker_, Dec 09 2013

%t Denominator[Convergents[Sqrt[705], 30]] (* _Vincenzo Librandi_, Jan 20 2014 *)

%Y Cf. A042356, A040678.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 09 2013

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Last modified April 25 09:08 EDT 2024. Contains 371964 sequences. (Running on oeis4.)