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A041606 Numerators of continued fraction convergents to sqrt(321). 2

%I #16 Aug 12 2017 10:16:16

%S 17,18,197,215,7507,7722,84727,92449,3227993,3320442,36432413,

%T 39752855,1388029483,1427782338,15665852863,17093635201,596849449697,

%U 613943084898,6736280298677,7350223383575,256643875340227,263994098723802,2896584862578247,3160578961302049

%N Numerators of continued fraction convergents to sqrt(321).

%H Vincenzo Librandi, <a href="/A041606/b041606.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, 430, 0, 0, 0, -1).

%F G.f.: -(x^7-17*x^6+18*x^5-197*x^4-215*x^3-197*x^2-18*x-17) / (x^8-430*x^4+1). - _Colin Barker_, Nov 09 2013

%t Numerator[Convergents[Sqrt[321], 30]] (* _Vincenzo Librandi_, Nov 04 2013 *)

%t LinearRecurrence[{0,0,0,430,0,0,0,-1},{17,18,197,215,7507,7722,84727,92449},30] (* _Harvey P. Dale_, Aug 12 2017 *)

%Y Cf. A041607.

%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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Last modified September 4 10:22 EDT 2024. Contains 375681 sequences. (Running on oeis4.)