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A041800 Numerators of continued fraction convergents to sqrt(421). 2

%I #18 Aug 08 2023 12:21:44

%S 20,21,41,554,2811,3365,12906,16271,45448,61719,107167,168886,444939,

%T 4173337,4618276,36501269,114122083,378867518,871857119,2122581756,

%U 7239602387,23841388917,174129324806

%N Numerators of continued fraction convergents to sqrt(421).

%H Vincenzo Librandi, <a href="/A041800/b041800.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_74">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88084891393642836, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

%F a(n) = 88084891393642836*a(n-37) + a(n-74) for n>73. [_Bruno Berselli_, Nov 09 2013]

%t Numerator[Convergents[Sqrt[421], 30]] (* _Harvey P. Dale_, Mar 28 2012 *)

%Y Cf. A041801.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_

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Last modified July 29 16:28 EDT 2024. Contains 374734 sequences. (Running on oeis4.)