%I #16 Jul 09 2025 00:41:47

%S 13,14,83,97,2605,2702,16115,18817,505357,524174,3126227,3650401,

%T 98036653,101687054,606471923,708158977,19018605325,19726764302,

%U 117652426835,137379191137,3689511396397,3826890587534,22823964334067,26650854921601,715746192295693

%N Numerators of continued fraction convergents to sqrt(192).

%H Vincenzo Librandi, <a href="/A041356/b041356.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 (0,0,0,194,0,0,0,-1).

%F G.f.: -(x^7-13*x^6+14*x^5-83*x^4-97*x^3-83*x^2-14*x-13) / ((x^2-4*x+1)*(x^2+4*x+1)*(x^4+14*x^2+1)). - _Colin Barker_, Nov 07 2013

%t Numerator[Convergents[Sqrt[192], 30]] (* _Vincenzo Librandi_, Nov 01 2013 *)

%t LinearRecurrence[{0,0,0,194,0,0,0,-1},{13,14,83,97,2605,2702,16115,18817},30] (* _Harvey P. Dale_, Sep 01 2021 *)

%Y Cf. A041357.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_

%E More terms from _Colin Barker_, Nov 07 2013