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%I #17 Jan 20 2024 17:51:40
%S 17,52,433,1351,46367,140452,1169983,3650401,125283617,379501252,
%T 3161293633,9863382151,338516286767,1025412242452,8541814226383,
%U 26650854921601,914670881560817,2770663499604052,23079978878393233,72010600134783751,2471440383461040767
%N Numerators of continued fraction convergents to sqrt(300).
%H Vincenzo Librandi, <a href="/A041564/b041564.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,2702,0,0,0,-1).
%F G.f.: -(x^7-17*x^6+52*x^5-433*x^4-1351*x^3-433*x^2-52*x-17) / ((x^4-52*x^2+1)*(x^4+52*x^2+1)). - _Colin Barker_, Nov 09 2013
%F a(n) = 2702*a(n-4) - a(n-8). - _Wesley Ivan Hurt_, Jan 20 2024
%t Numerator[Convergents[Sqrt[300], 30]] (* _Vincenzo Librandi_, Nov 04 2013 *)
%t LinearRecurrence[{0,0,0,2702,0,0,0,-1},{17,52,433,1351,46367,140452,1169983,3650401},30] (* _Harvey P. Dale_, May 20 2021 *)
%Y Cf. A041565.
%K nonn,cofr,frac,easy
%O 0,1
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 09 2013
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