0,2

a(n)*a(n+2)-a(n+1)^2=(-1)^n*(F(2n+4)-1).

G.f.: (1-3x^2+x^3)/(1-3x+3x^3-x^4).

a(n)=F(n+1)*F(n+2)+(1-(-1)^n)/2;

a(n)=(F(n+2)*(1+(-1)^n)/2+F(n)*(1-(-1)^n)/2)*(F(n+3)(1-(-1)^n)/2+F(n+1)*(1+(-1)^n)/2).

Cf. A166516.

Sequence in context: A001675 A046211 A018022 this_sequence A128720 A096745 A027088

Adjacent sequences: A166533 A166534 A166535 this_sequence A166537 A166538 A166539

easy,nonn

Paul Barry (pbarry(AT)wit.ie), Oct 16 2009