%I A078712
%S A078712 3,1,1,2,3,4,2,1,5,7,6,1,6,12,13,7,5,18,25,20,2,23,43,
%T A078712 45,22,21,66,88,67,1,87,154,155,68,86,241,309,223,18,327,
%U A078712 550,532,205,345,877,1082,737,140,1222,1959,1819,597,1362
%V A078712 -3,1,-1,-2,3,-4,2,1,-5,7,-6,1,6,-12,13,-7,-5,18,-25,20,-2,-23,43,
%W A078712 -45,22,21,-66,88,-67,1,87,-154,155,-68,-86,241,-309,223,18,-327,
%X A078712 550,-532,205,345,-877,1082,-737,-140,1222,-1959,1819,-597,-1362
%N A078712 Expansion of (2x+3)/(x^3-x-1).
%C A078712 This sequence is -A001608(-n), the Perrin sequence for negative n. - 
               T. D. Noe (noe(AT)sspectra.com), Oct 10 2006
%F A078712 a(n) = a(n-3)-a(n-1) with a(0)=-3, a(1)=1, a(2)=-1. a(n) = A001945(n)-A001608(n). 
               a(n) ~ 2*real(r^n) with r=0.87744+0.7448617i one inverse complex 
               root of x^3-x-1=0.
%Y A078712 Cf. A001608, A001945.
%Y A078712 Sequence in context: A030727 A128316 A065836 this_sequence A035254 A143934 
               A086639
%Y A078712 Adjacent sequences: A078709 A078710 A078711 this_sequence A078713 A078714 
               A078715
%K A078712 sign
%O A078712 0,1
%A A078712 Ralf Stephan (ralf(AT)ark.in-berlin.de), Dec 19 2002