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A041792 Numerators of continued fraction convergents to sqrt(417). 2

%I #13 Jul 17 2023 01:07:15

%S 20,41,102,143,245,388,2185,9128,11313,144884,156197,769672,4004557,

%T 4774229,8778786,13553015,35884816,85322647,3448790696,6982904039,

%U 17414598774,24397502813,41812101587,66209604400

%N Numerators of continued fraction convergents to sqrt(417).

%H Vincenzo Librandi, <a href="/A041792/b041792.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_36">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, 170645294, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F a(n) = 170645294*a(n-18) - a(n-36) for n>35. [_Bruno Berselli_, Nov 09 2013]

%t Numerator[Convergents[Sqrt[417], 30]] (* _Vincenzo Librandi_, Nov 09 2013 *)

%Y Cf. A041793.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_.

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Last modified May 12 03:00 EDT 2024. Contains 372431 sequences. (Running on oeis4.)