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%I #4 Mar 30 2012 18:58:56
%S 1,1,2,1,5,2,13,5,34,13,89,34,233,89,610,233,1597,610,4181,1597,10946,
%T 4181,28657,10946,75025,28657,196418,75025,514229,196418,1346269,
%U 514229,3524578,1346269,9227465,3524578,24157817,9227465,63245986,24157817
%N F(n)+(-1)^n*F(n-1).
%F G.f. : x/(1-x-x^2)+(1+x)/(1+x-x^2)=(1+x-x^2-2x^3)/(1-3x^2+x^4); a(n)=3a(n-2)-a(n-4); a(2n)=F(2n+1); a(2n+1)=F(2n-1).
%F a(n)=A087123(n-1), n>0. [From _R. J. Mathar_, Sep 02 2008]
%Y Cf. A000045.
%K easy,nonn
%O 0,3
%A _Paul Barry_, Jul 26 2004
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