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%I #17 Jun 13 2015 00:49:25
%S 15,16,495,511,15825,16336,505905,522241,16173135,16695376,517034415,
%T 533729791,16528928145,17062657936,528408666225,545471324161,
%U 16892548391055,17438019715216,540033139847535
%N Numerators of continued fraction convergents to sqrt(255).
%H Harvey P. Dale, <a href="/A041478/b041478.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,32,0,-1).
%F a(n) = 32*a(n-2)-a(n-4). G.f.: -(x^3-15*x^2-16*x-15)/(x^4-32*x^2+1). [_Colin Barker_, Jul 16 2012]
%t Numerator[Convergents[Sqrt[255],50]] (* _Harvey P. Dale_, Jun 20 2012 *)
%t CoefficientList[Series[- (x^3 - 15 x^2 - 16 x - 15)/(x^4 - 32 x^2 + 1), {x, 0, 30}], x] (* _Vincenzo Librandi_, Oct 27 2013 *)
%Y Cf. A041479, A176110.
%K nonn,cofr,frac,easy
%O 0,1
%A _N. J. A. Sloane_.
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