%I A075270
%S A075270 3,2,7,3,18,7,47,18,123,47,322,123,843,322,2207,843,5778,2207,15127,5778,
%T A075270 39603,15127,103682,39603,271443,103682,710647,271443,1860498,710647,4870847,
%U A075270 1860498,12752043,4870847,33385282,12752043,87403803,33385282,228826127,
               87403803
%V A075270 3,-2,7,-3,18,-7,47,-18,123,-47,322,-123,843,-322,2207,-843,5778,-2207,
               15127,-5778,
%W A075270 39603,-15127,103682,-39603,271443,-103682,710647,-271443,1860498,-710647,
               4870847,
%X A075270 -1860498,12752043,-4870847,33385282,-12752043,87403803,-33385282,228826127,
               -87403803
%N A075270 Sum of Lucas numbers and inverted Lucas numbers: a(n)=A000032(n)*A075193(n).
%C A075270 a(n)=(1+(-1)^n)L(n)+((-1)^n)L(n-1), L(n) Lucas numbers.
%F A075270 a(n)=3a(n-2)-a(n-4), a(0)=3, a(1)=-2, a(2)=7, a(3)=-3. Ogf (3-2x-2x^2+3x^3)/
               (1-3x^2+x^4).
%t A075270 CoefficientList[Series[(3-2x-2x^2+3x^3)/(1-3x^2+x^4), {x, 0, 40}], x]
%Y A075270 Cf. A000032, A075193.
%Y A075270 Sequence in context: A071190 A057020 A165794 this_sequence A067872 A011772 
               A060451
%Y A075270 Adjacent sequences: A075267 A075268 A075269 this_sequence A075271 A075272 
               A075273
%K A075270 easy,sign
%O A075270 0,1
%A A075270 Mario Catalani (mario.catalani(AT)unito.it), Sep 12 2002