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%I #5 Jun 13 2015 00:52:36
%S 0,11,36,29,8,47,100,65,16,83,164,101,24,119,228,137,32,155,292,173,
%T 40,191,356,209,48,227,420,245,56,263,484,281,64,299,548,317,72,335,
%U 612,353,80,371,676,389,88,407,740
%N A generalized Chamberland function.
%C The orbit of a(n) beginning at 1 is A138894.
%D M. Chamberland, A Continuous Extension of the 3x+1 Problem to the Real Line, Dynamics of Continuous, Discrete and Impulsive Dynamical Systems 2(1996), 495-509
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (2,-3,4,-3,2,-1).
%F G.f.: x(11+14x-10x^2+14x^3+7x^4)/((1-x)^2(1+x^2)^2);
%F a(n)=9n+2-(7n+2)cos(pi*n/2);
%F a(n)=6((n/3)*(cos(pi*n/4))^2+(2/3)*(4n+1)*(sin(pi*n/4))^2);
%F a(4n)=8n; a(4n+1)=11+36n; a(4n+2)=4*(9+16n); a(4n+3)=29+36n;
%K easy,nonn
%O 0,2
%A _Paul Barry_, Apr 02 2008
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