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A042356 Numerators of continued fraction convergents to sqrt(705). 2

%I #14 Mar 18 2017 16:26:47

%S 26,27,53,239,770,7939,24587,106287,130874,237161,12463246,12700407,

%T 25163653,113355019,365228710,3765642119,11662155067,50414262387,

%U 62076417454,112490679841,5911591769186,6024082449027,11935674218213,53766779321879,173236012183850

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

%H Vincenzo Librandi, <a href="/A042356/b042356.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^19 -26*x^18 +27*x^17 -53*x^16 +239*x^15 -770*x^14 +7939*x^13 -24587*x^12 +106287*x^11 -130874*x^10 -237161*x^9 -130874*x^8 -106287*x^7 -24587*x^6 -7939*x^5 -770*x^4 -239*x^3 -53*x^2 -27*x -26) / (x^20 -474322*x^10 +1). - _Colin Barker_, Dec 09 2013

%t Numerator[Convergents[Sqrt[705], 30]] (* _Vincenzo Librandi_, Nov 22 2013 *)

%Y Cf. A042357, A040678.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 09 2013

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