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A041566 Numerators of continued fraction convergents to sqrt(301). 2

%I #11 Jul 16 2023 20:14:07

%S 17,35,52,347,1093,1440,3973,9386,13359,22745,195319,2171254,4537827,

%T 20322562,45182951,517335023,4183863135,4701198158,8885061293,

%U 22471320744,53827702781,76299023525,282724773356

%N Numerators of continued fraction convergents to sqrt(301).

%H Vincenzo Librandi, <a href="/A041566/b041566.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_52">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, 11766785075390, 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) = 11766785075390*a(n-26) - a(n-52) for n>51. [_Bruno Berselli_, Nov 16 2013]

%t Numerator[Convergents[Sqrt[301], 30]] (* _Vincenzo Librandi_, Nov 04 2013 *)

%Y Cf. A041567.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

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