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Numerators of continued fraction convergents to sqrt(68).
2

%I #17 Jun 13 2015 00:49:21

%S 8,33,536,2177,35368,143649,2333752,9478657,153992264,625447713,

%T 10161155672,41270070401,670482282088,2723199198753,44241669462136,

%U 179689877047297,2919279702218888,11856808685922849,192628218676984472,782369683393860737,12710543152978756264

%N Numerators of continued fraction convergents to sqrt(68).

%H Vincenzo Librandi, <a href="/A041118/b041118.txt">Table of n, a(n) for n = 0..100</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,66,0,-1).

%F G.f.: -(x^3-8*x^2-33*x-8) / ((x^2-8*x-1)*(x^2+8*x-1)). - _Colin Barker_, Nov 05 2013

%t Numerator[Convergents[Sqrt[68],30]] (* _Harvey P. Dale_, Aug 12 2012 *)

%Y Cf. A010520, A041119.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 05 2013