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Numerators of continued fraction convergents to sqrt(644).
2

%I #14 Mar 18 2017 16:15:11

%S 25,51,76,127,203,1345,1548,2893,4441,11775,593191,1198157,1791348,

%T 2989505,4780853,31674623,36455476,68130099,104585575,277301249,

%U 13969648025,28216597299,42186245324,70402842623,112589087947,745937370305,858526458252,1604463828557

%N Numerators of continued fraction convergents to sqrt(644).

%H Vincenzo Librandi, <a href="/A042236/b042236.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, 23550, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^19 -25*x^18 +51*x^17 -76*x^16 +127*x^15 -203*x^14 +1345*x^13 -1548*x^12 +2893*x^11 -4441*x^10 -11775*x^9 -4441*x^8 -2893*x^7 -1548*x^6 -1345*x^5 -203*x^4 -127*x^3 -76*x^2 -51*x -25) / (x^20 -23550*x^10 +1). - _Colin Barker_, Dec 05 2013

%t Numerator[Convergents[Sqrt[644], 30]] (* _Vincenzo Librandi_, Nov 19 2013 *)

%Y Cf. A042237, A040618.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 05 2013