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A041884 Numerators of continued fraction convergents to sqrt(464). 2

%I #16 Mar 18 2017 13:06:37

%S 21,22,43,237,280,517,797,4502,5299,9801,416941,426742,843683,4645157,

%T 5488840,10133997,15622837,88248182,103871019,192119201,8172877461,

%U 8364996662,16537874123,91054367277,107592241400,198646608677,306238850077,1729840859062

%N Numerators of continued fraction convergents to sqrt(464).

%H Vincenzo Librandi, <a href="/A041884/b041884.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 19602, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^19 -21*x^18 +22*x^17 -43*x^16 +237*x^15 -280*x^14 +517*x^13 -797*x^12 +4502*x^11 -5299*x^10 -9801*x^9 -5299*x^8 -4502*x^7 -797*x^6 -517*x^5 -280*x^4 -237*x^3 -43*x^2 -22*x -21) / ((x^10 -140*x^5 -1)*(x^10 +140*x^5 -1)). - _Colin Barker_, Nov 26 2013

%t Numerator[Convergents[Sqrt[464], 30]] (* _Vincenzo Librandi_, Nov 11 2013 *)

%Y Cf. A041885, A040442.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 26 2013

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)