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%I #17 Dec 17 2019 17:17:49
%S 7,8,119,127,1897,2024,30233,32257,481831,514088,7679063,8193151,
%T 122383177,130576328,1950451769,2081028097,31084845127,33165873224,
%U 495407070263,528572943487,7895428279081,8424001222568
%N Numerators of continued fraction convergents to sqrt(63).
%H Vincenzo Librandi, <a href="/A041110/b041110.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 (0,16,0,-1).
%F a(n) = 16*a(n-2)-a(n-4). G.f.: (7+8*x+7*x^2-x^3)/(1-16*x^2+x^4). [_Colin Barker_, Jul 15 2012]
%t Numerator[Convergents[Sqrt[63], 30]] (* _Vincenzo Librandi_, Oct 26 2013 *)
%t LinearRecurrence[{0,16,0,-1},{7,8,119,127},30] (* _Harvey P. Dale_, Dec 17 2019 *)
%Y Cf. A010516, A041111.
%K nonn,cofr,frac,easy
%O 0,1
%A _N. J. A. Sloane_.