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%I #12 Jun 13 2015 00:49:25
%S 16,49,65,114,293,700,993,1693,6072,195997,594063,790060,1384123,
%T 3558306,8500735,12059041,20559776,73738369,2380187584,7214301121,
%U 9594488705,16808789826,43212068357,103232926540,146444994897,249677921437,895478759208,28904998216093
%N Numerators of continued fraction convergents to sqrt(265).
%H Vincenzo Librandi, <a href="/A041496/b041496.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 (0,0,0,0,0,0,0,0,12144,0,0,0,0,0,0,0,0,1).
%F G.f.: -(x^17 -16*x^16 +49*x^15 -65*x^14 +114*x^13 -293*x^12 +700*x^11 -993*x^10 +1693*x^9 +6072*x^8 +1693*x^7 +993*x^6 +700*x^5 +293*x^4 +114*x^3 +65*x^2 +49*x +16) / (x^18 +12144*x^9 -1). - _Colin Barker_, Nov 10 2013
%t Numerator[Convergents[Sqrt[265], 30]] (* _Vincenzo Librandi_, Nov 03 2013 *)
%Y Cf. A041497.
%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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