Search: id:A075150
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%I A075150
%S A075150 4,1,9,16,49,121,324,841,2209,5776,15129,39601,103684,271441,710649,1860496,
%T A075150 4870849,12752041,33385284,87403801,228826129,599074576,1568397609,4106118241,
%U A075150 10749957124,28143753121,73681302249,192900153616,505019158609,1322157322201
%V A075150 4,-1,9,-16,49,-121,324,-841,2209,-5776,15129,-39601,103684,-271441,710649,
               -1860496,
%W A075150 4870849,-12752041,33385284,-87403801,228826129,-599074576,1568397609,
               -4106118241,
%X A075150 10749957124,-28143753121,73681302249,-192900153616,505019158609,-1322157322201
%N A075150 a(n)=L(n)*C(n), L(n)=Lucas numbers (A000032), C(n)=reflected Lucas numbers 
               (see comment to A061084).
%C A075150 a(n)=2+(-1)^n*L(2n).
%F A075150 a(n)=-2a(n-1)+2a(n-2)+a(n-3), a(0)=4, a(1)=-1, a(2)=9. G.f.: (4 + 7*x 
               - x^2)/(1 + 2*x - 2*x^2 - x^3).
%t A075150 CoefficientList[Series[(4 + 7*x - x^2)/(1 + 2*x - 2*x^2 - x^3), {x, 0, 
               30}], x]
%Y A075150 Cf. A000032, A061084.
%Y A075150 Sequence in context: A091885 A069606 A001254 this_sequence A143763 A128626 
               A028941
%Y A075150 Adjacent sequences: A075147 A075148 A075149 this_sequence A075151 A075152 
               A075153
%K A075150 easy,sign
%O A075150 0,1
%A A075150 Mario Catalani (mario.catalani(AT)unito.it), Sep 05 2002

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