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%I #14 Oct 03 2022 12:00:28
%S 14,43,57,100,657,757,1414,4999,141386,429157,570543,999700,6568743,
%T 7568443,14137186,49980001,1413577214,4290711643,5704288857,
%U 9995000500,65674291857,75669292357,141343584214,499700044999,14132944844186,42898534577557,57031479421743
%N Numerators of continued fraction convergents to sqrt(204).
%H Vincenzo Librandi, <a href="/A041378/b041378.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 (0,0,0,0,0,0,0,9998,0,0,0,0,0,0,0,-1).
%F G.f.: -(x^15 -14*x^14 +43*x^13 -57*x^12 +100*x^11 -657*x^10 +757*x^9 -1414*x^8 -4999*x^7 -1414*x^6 -757*x^5 -657*x^4 -100*x^3 -57*x^2 -43*x -14) / ((x^8 -100*x^4 +1)*(x^8 +100*x^4 +1)). - _Colin Barker_, Nov 07 2013
%t Numerator[Convergents[Sqrt[204], 30]] (* _Vincenzo Librandi_, Nov 01 2013 *)
%t LinearRecurrence[{0,0,0,0,0,0,0,9998,0,0,0,0,0,0,0,-1},{14,43,57,100,657,757,1414,4999,141386,429157,570543,999700,6568743,7568443,14137186,49980001},30] (* _Harvey P. Dale_, Oct 03 2022 *)
%Y Cf. A041379.
%K nonn,cofr,frac,easy
%O 0,1
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 07 2013
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