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A041654 Numerators of continued fraction convergents to sqrt(346). 2

%I #19 Mar 18 2017 12:39:58

%S 18,19,37,56,93,3404,3497,6901,10398,17299,633162,650461,1283623,

%T 1934084,3217707,117771536,120989243,238760779,359750022,598510801,

%U 21906138858,22504649659,44410788517,66915438176,111326226693,4074659599124,4185985825817

%N Numerators of continued fraction convergents to sqrt(346).

%H Vincenzo Librandi, <a href="/A041654/b041654.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 186, 0, 0, 0, 0, 1).

%F G.f.: -(x^9-18*x^8+19*x^7-37*x^6+56*x^5+93*x^4+56*x^3+37*x^2+19*x+18) / (x^10+186*x^5-1). - _Colin Barker_, Nov 09 2013

%t Numerator[Convergents[Sqrt[346], 30]] (* _Vincenzo Librandi_, Nov 06 2013 *)

%t LinearRecurrence[{0,0,0,0,186,0,0,0,0,1},{18,19,37,56,93,3404,3497,6901,10398,17299},30] (* _Harvey P. Dale_, Jul 28 2014 *)

%Y Cf. A041655.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 09 2013

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