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A041388 Numerators of continued fraction convergents to sqrt(209). 2

%I #12 Jun 13 2015 00:49:24

%S 14,29,159,506,1171,4019,21266,46551,1324694,2695939,14804389,

%T 47109106,109022601,374176909,1979907146,4333991201,123331660774,

%U 250997312749,1378318224519,4385951986306,10150222197131,34836618577699,184333315085626,403503248748951

%N Numerators of continued fraction convergents to sqrt(209).

%H Vincenzo Librandi, <a href="/A041388/b041388.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 (0,0,0,0,0,0,0,93102,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^15 -14*x^14 +29*x^13 -159*x^12 +506*x^11 -1171*x^10 +4019*x^9 -21266*x^8 -46551*x^7 -21266*x^6 -4019*x^5 -1171*x^4 -506*x^3 -159*x^2 -29*x -14) / (x^16 -93102*x^8 +1). - _Colin Barker_, Nov 10 2013

%t Numerator[Convergents[Sqrt[209], 30]] (* _Vincenzo Librandi_, Nov 01 2013 *)

%Y Cf. A041389.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 10 2013

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Last modified April 23 05:09 EDT 2024. Contains 371906 sequences. (Running on oeis4.)