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Numerators of continued fraction convergents to sqrt(86).
2

%I #13 Jun 13 2015 00:49:22

%S 9,28,37,65,102,881,983,1864,2847,10405,190137,580816,770953,1351769,

%T 2122722,18333545,20456267,38789812,59246079,216528049,3956750961,

%U 12086780932,16043531893,28130312825,44173844718,381521070569,425694915287,807215985856

%N Numerators of continued fraction convergents to sqrt(86).

%H Vincenzo Librandi, <a href="/A041152/b041152.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 (0,0,0,0,0,0,0,0,0,20810,0,0,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^19 -9*x^18 +28*x^17 -37*x^16 +65*x^15 -102*x^14 +881*x^13 -983*x^12 +1864*x^11 -2847*x^10 -10405*x^9 -2847*x^8 -1864*x^7 -983*x^6 -881*x^5 -102*x^4 -65*x^3 -37*x^2 -28*x -9) / (x^20 -20810*x^10 +1). - _Colin Barker_, Nov 10 2013

%t Numerator[Convergents[Sqrt[86], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *)

%Y Cf. A010537, A041153.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 10 2013