A041279 - OEIS

%I #17 Sep 08 2022 08:44:54

%S 1,3,73,222,5401,16425,399601,1215228,29565073,89910447,2187415801,

%T 6652157850,161839204201,492169770453,11973913695073,36413910855672,

%U 885907774231201,2694137233549275,65545201379413801,199329741371790678,4849458994302390073

%N Denominators of continued fraction convergents to sqrt(152).

%H Vincenzo Librandi, <a href="/A041279/b041279.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,74,0,-1).

%F G.f.: -(x^2-3*x-1) / (x^4-74*x^2+1). - _Colin Barker_, Nov 14 2013

%F a(n) = 74*a(n-2) - a(n-4). - _Vincenzo Librandi_, Dec 14 2013

%t Denominator[Convergents[Sqrt[152], 30]] (* _Vincenzo Librandi_, Dec 14 2013 *)

%t LinearRecurrence[{0,74,0,-1},{1,3,73,222},30] (* _Harvey P. Dale_, Sep 03 2015 *)

%o (Magma) I:=[1,3,73,222]; [n le 4 select I[n] else 74*Self(n-2)-Self(n-4): n in [1..40]]; // _Vincenzo Librandi_, Dec 14 2013

%Y Cf. A041278, A040139.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 14 2013