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A041540 Numerators of continued fraction convergents to sqrt(287). 2

%I #11 Jun 13 2015 00:49:25

%S 16,17,271,288,9487,9775,156112,165887,5464496,5630383,89920241,

%T 95550624,3147540209,3243090833,51793902704,55036993537,1812977695888,

%U 1868014689425,29833198037263,31701212726688,1044272005291279,1075973218017967,17183870275560784

%N Numerators of continued fraction convergents to sqrt(287).

%H Vincenzo Librandi, <a href="/A041540/b041540.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,576,0,0,0,-1).

%F G.f.: (16 + 17*x + 271*x^2 + 288*x^3 + 271*x^4 - 17*x^5 + 16*x^6 - x^7) / (1 - 576*x^4 + x^8). [_Bruno Berselli_, Nov 04 2013]

%t Numerator[Convergents[Sqrt[287], 30]] (* _Vincenzo Librandi_, Nov 04 2013 *)

%t LinearRecurrence[{0, 0, 0, 576, 0, 0, 0, -1}, {16, 17, 271, 288, 9487, 9775, 156112, 165887}, 30] (* _Bruno Berselli_, Nov 04 2013 *)

%Y Cf. A041541.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

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