0,3

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

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

a(n)=F(2*floor(n/2)+1)*F(2*floor((n-1)/2)+1)=F(A166514(2n))^2+F(A166514(2n+1))^2;

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

Sequence in context: A026269 A000645 A005958 this_sequence A124500 A124501 A124344

Adjacent sequences: A166513 A166514 A166515 this_sequence A166517 A166518 A166519

easy,nonn

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