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Numerators of continued fraction convergents to sqrt(207).
2

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

%S 14,29,43,72,187,259,446,1151,32674,66499,99173,165672,430517,596189,

%T 1026706,2649601,75215534,153080669,228296203,381376872,991049947,

%U 1372426819,2363476766,6099380351,173146126594,352391633539,525537760133,877929393672

%N Numerators of continued fraction convergents to sqrt(207).

%H Vincenzo Librandi, <a href="/A041384/b041384.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 (0,0,0,0,0,0,0,2302,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^15 -14*x^14 +29*x^13 -43*x^12 +72*x^11 -187*x^10 +259*x^9 -446*x^8 -1151*x^7 -446*x^6 -259*x^5 -187*x^4 -72*x^3 -43*x^2 -29*x -14) / ((x^8 -48*x^4 +1)*(x^8 +48*x^4 +1)). - _Colin Barker_, Nov 07 2013

%t Numerator[Convergents[Sqrt[207], 30]] (* _Vincenzo Librandi_, Nov 01 2013 *)

%Y Cf. A041385.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 07 2013