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A041556 Numerators of continued fraction convergents to sqrt(296). 2

%I #14 Jun 13 2015 00:49:35

%S 17,69,86,671,757,3699,126523,509791,636314,4963989,5600303,27365201,

%T 936017137,3771433749,4707450886,36723589951,41431040837,202447753299,

%U 6924654653003,27901066365311,34825721018314,271681113493509,306506834511823,1497708451540801

%N Numerators of continued fraction convergents to sqrt(296).

%H Vincenzo Librandi, <a href="/A041556/b041556.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 (0,0,0,0,0,7398,0,0,0,0,0,-1).

%F G.f.: -(x^11 -17*x^10 +69*x^9 -86*x^8 +671*x^7 -757*x^6 -3699*x^5 -757*x^4 -671*x^3 -86*x^2 -69*x -17) / ((x^6 -86*x^3 -1)*(x^6 +86*x^3 -1)). - _Colin Barker_, Nov 08 2013

%t Numerator[Convergents[Sqrt[296],40]] (* _Vincenzo Librandi_, Jan 13 2012 *)

%Y Cf. A041557.

%K nonn,cofr,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 08 2013

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Last modified April 23 06:04 EDT 2024. Contains 371906 sequences. (Running on oeis4.)