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Denominators of continued fraction convergents to sqrt(166).
2

%I #14 Jul 16 2023 15:16:11

%S 1,1,8,9,17,26,69,302,371,1415,3201,39827,82855,288392,371247,1773380,

%T 3918007,5691387,9609394,15300781,116714861,132015642,3285090269,

%U 3417105911,27204831646,30621937557,57826769203,88448706760,234724182723,1027345437652

%N Denominators of continued fraction convergents to sqrt(166).

%H Vincenzo Librandi, <a href="/A041307/b041307.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_44">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, 3401805130, 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) = 3401805130*a(n-22) - a(n-44) for n>43. [_Bruno Berselli_, Dec 15 2013]

%t Denominator[Convergents[Sqrt[166],30]] (* _Harvey P. Dale_, Jan 02 2013 *)

%Y Cf. A041306.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Vincenzo Librandi_, Dec 15 2013