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%I #15 Jun 13 2015 00:49:35
%S 17,69,224,293,517,1327,1844,3171,11357,48599,1663723,6703491,
%T 21774196,28477687,50251883,128981453,179233336,308214789,1103877703,
%U 4723725601,161710548137,651565918149,2116408302584,2767974220733,4884382523317,12536739267367
%N Numerators of continued fraction convergents to sqrt(297).
%H Vincenzo Librandi, <a href="/A041558/b041558.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 (0,0,0,0,0,0,0,0,0,97198,0,0,0,0,0,0,0,0,0,-1).
%F G.f.: -(x^19 -17*x^18 +69*x^17 -224*x^16 +293*x^15 -517*x^14 +1327*x^13 -1844*x^12 +3171*x^11 -11357*x^10 -48599*x^9 -11357*x^8 -3171*x^7 -1844*x^6 -1327*x^5 -517*x^4 -293*x^3 -224*x^2 -69*x -17) / (x^20 -97198*x^10 +1). - _Colin Barker_, Nov 10 2013
%t Numerator[Convergents[Sqrt[297], 30]] (* _Vincenzo Librandi_, Nov 04 2013 *)
%t LinearRecurrence[{0,0,0,0,0,0,0,0,0,97198,0,0,0,0,0,0,0,0,0,-1},{17,69,224,293,517,1327,1844,3171,11357,48599,1663723,6703491,21774196,28477687,50251883,128981453,179233336,308214789,1103877703,4723725601},40] (* _Harvey P. Dale_, Jan 01 2014 *)
%Y Cf. A041559.
%K nonn,cofr,frac,easy
%O 0,1
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 10 2013
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