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A041369 Denominators of continued fraction convergents to sqrt(199). 2

%I #18 Jul 16 2023 16:28:38

%S 1,9,19,28,75,178,965,4038,5003,9041,122536,131577,254113,1148029,

%T 5994258,13136545,32267348,45403893,123075134,1153080099,32409317906,

%U 292836941253,618083200412,910920141665,2439923483742,5790767109149,31393759029487

%N Denominators of continued fraction convergents to sqrt(199).

%H Vincenzo Librandi, <a href="/A041369/b041369.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_40">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, 32532393040, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F a(n) = 32532393040*a(n-20) - a(n-40) for n>39. [_Bruno Berselli_, Dec 16 2013]

%t Denominator/@Convergents[Sqrt[199], 40] (* _Harvey P. Dale_, Mar 14 2011 *)

%Y Cf. A041368.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Vincenzo Librandi_, Dec 16 2013

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Last modified May 1 12:13 EDT 2024. Contains 372170 sequences. (Running on oeis4.)