Search: id:A152163
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%I A152163
%S A152163 1,1,0,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,
%T A152163 1597,2584,4181,6765,10946,17711,28657,46368,75025,121393,
%U A152163 196418,317811,514229,832040,1346269,2178309,3524578,5702887
%V A152163 1,-1,0,-1,-1,-2,-3,-5,-8,-13,-21,-34,-55,-89,-144,-233,-377,-610,-987,
%W A152163 -1597,-2584,-4181,-6765,-10946,-17711,-28657,-46368,-75025,-121393,
%X A152163 -196418,-317811,-514229,-832040,-1346269,-2178309,-3524578,-5702887
%N A152163 a(n)=a(n-1)+a(n-2), n>1 ; a(0)=1, a(1)=-1 .
%F A152163 G.f.: (1-2*x)/(1-x-x^2). a(n)=Sum_{k, 0<=k<=n}A147703(n,k)*(-2)^k. a(n)=-Fibonacci(n-2) 
               for n>=2 .
%F A152163 a(n)=(1/2)*{[(1/2)+(1/2)*sqrt(5)]^n+[(1/2)-(1/2)*sqrt(5)]^n}+(3/10)*sqrt(5)*{[(1/
               2)-(1/2) *sqrt(5)]^n-[(1/2)+(1/2)*sqrt(5)]^n}, with n>=0 [From Paolo 
               P. Lava (ppl(AT)spl.at), Dec 01 2008]
%Y A152163 Cf. A000045
%Y A152163 Sequence in context: A000044 A107358 A132636 this_sequence A039834 A000045 
               A020695
%Y A152163 Adjacent sequences: A152160 A152161 A152162 this_sequence A152164 A152165 
               A152166
%K A152163 easy,sign
%O A152163 0,6
%A A152163 Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 27 2008

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