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%I #17 Aug 14 2023 12:17:46
%S 8,17,42,59,455,514,1483,3480,57163,117806,292775,410581,3166842,
%T 3577423,10321688,24220799,397854472,819929743,2037713958,2857643701,
%U 22041219865,24898863566,71838946997,168576757560,2769067067957,5706710893474,14182488854905
%N Numerators of continued fraction convergents to sqrt(71).
%H Vincenzo Librandi, <a href="/A041124/b041124.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 (0,0,0,0,0,0,0,6960,0,0,0,0,0,0,0,-1).
%F G.f.: -(x^15 -8*x^14 +17*x^13 -42*x^12 +59*x^11 -455*x^10 +514*x^9 -1483*x^8 -3480*x^7 -1483*x^6 -514*x^5 -455*x^4 -59*x^3 -42*x^2 -17*x -8) / (x^16 -6960*x^8 +1). - _Colin Barker_, Nov 05 2013
%t Numerator[Convergents[Sqrt[71], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *)
%t LinearRecurrence[{0,0,0,0,0,0,0,6960,0,0,0,0,0,0,0,-1},{8,17,42,59,455,514,1483,3480,57163,117806,292775,410581,3166842,3577423,10321688,24220799},40] (* _Harvey P. Dale_, Aug 14 2023 *)
%Y Cf. A010523, A041125.
%K nonn,cofr,frac,easy
%O 0,1
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 05 2013
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