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%I #23 Mar 18 2017 18:22:07
%S 31,63,157,9797,19751,49299,3076289,6201877,15480043,965964543,
%T 1947409129,4860782801,303315942791,611492668383,1526301279557,
%U 95242172000917,192010645281391,479263462563699,29906345324230729,60291954111025157,150490253546281043
%N Numerators of continued fraction convergents to sqrt(986).
%H Vincenzo Librandi, <a href="/A042908/b042908.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 314, 0, 0, 1).
%F G.f.: (31 +63*x +157*x^2 +63*x^3 -31*x^4 +x^5)/(1 -314*x^3 -x^6). - _Vincenzo Librandi_, Dec 09 2013, simplified by _Colin Barker_, Dec 25 2013
%F a(n) = 314*a(n-3) + a(n-6). - _Vincenzo Librandi_, Dec 09 2013, simplified by _Colin Barker_, Dec 26 2013
%t Numerator[Convergents[Sqrt[986], 30]] (* or *) CoefficientList[Series[(31 + 63 x + 157 x^2 + 63 x^3 - 31 x^4 + x^5)/(1 - 314 x^3 - x^6), {x, 0, 30}], x] (* _Vincenzo Librandi_, Dec 09 2013 *)
%Y Cf. A042909, A040954.
%K nonn,frac,easy
%O 0,1
%A _N. J. A. Sloane_.
%E More terms from _Vincenzo Librandi_, Dec 09 2013
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