A041243 - OEIS

%I #11 Jul 16 2023 14:59:16

%S 1,1,2,15,77,92,169,261,691,952,1643,2595,14618,104921,119539,224460,

%T 5057659,5282119,10339778,77660565,398642603,476303168,874945771,

%U 1351248939,3577443649,4928692588,8506136237,13434828825,75680280362,543196791359,618877071721

%N Denominators of continued fraction convergents to sqrt(133).

%C Conjecture: satisfies a linear recurrence having signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5177198, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1). - _Harvey P. Dale_, Dec 03 2022

%H Vincenzo Librandi, <a href="/A041243/b041243.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_32">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, 5177198, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%t Denominator[Convergents[Sqrt[133], 30]]  (* _Vincenzo Librandi_, Dec 13 2013 *)

%Y Cf. A041242.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Vincenzo Librandi_, Dec 13 2013