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A042030 Numerators of continued fraction convergents to sqrt(539). 2

%I #18 Sep 05 2022 21:54:45

%S 23,93,116,209,325,534,859,3970,183479,737886,921365,1659251,2580616,

%T 4239867,6820483,31521799,1456823237,5858814747,7315637984,

%U 13174452731,20490090715,33664543446,54154634161,250283080090,11567176318301,46518988353294,58086164671595

%N Numerators of continued fraction convergents to sqrt(539).

%H Vincenzo Librandi, <a href="/A042030/b042030.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 7940, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^15 -23*x^14 +93*x^13 -116*x^12 +209*x^11 -325*x^10 +534*x^9 -859*x^8 -3970*x^7 -859*x^6 -534*x^5 -325*x^4 -209*x^3 -116*x^2 -93*x -23) / (x^16 -7940*x^8 +1). - _Colin Barker_, Nov 29 2013

%F a(n) = 7940*a(n-8) - a(n-16). - _Wesley Ivan Hurt_, Sep 05 2022

%t Numerator[Convergents[Sqrt[539], 30]] (* _Vincenzo Librandi_, Nov 14 2013 *)

%Y Cf. A042031, A040515.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 29 2013

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Last modified April 25 11:39 EDT 2024. Contains 371969 sequences. (Running on oeis4.)