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A014447 Odd Lucas numbers. 2

%I

%S 1,3,7,11,29,47,123,199,521,843,2207,3571,9349,15127,39603,64079,

%T 167761,271443,710647,1149851,3010349,4870847,12752043,20633239,

%U 54018521,87403803,228826127,370248451,969323029,1568397607,4106118243

%N Odd Lucas numbers.

%C Lucas(3n+1) union Lucas(3n+2).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,4,0,1)

%F a(n) = 4*a(n-2)+a(n-4). - R. J. Mathar, Feb 10 2011

%F G.f.: (-x^3 + 3*x^2 + 3*x + 1)/(-x^4 - 4*x^2 + 1). - _Ralf Stephan_, Aug 31 2013

%t Select[LucasL[Range[50]],OddQ] (* _Harvey P. Dale_, Sep 26 2012 *)

%K nonn,easy

%O 0,2

%A _Mohammad K. Azarian_

%E More terms from _Erich Friedman_.

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Last modified September 25 15:27 EDT 2021. Contains 347658 sequences. (Running on oeis4.)