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%I #7 Mar 30 2012 18:52:13
%S 8,144,4807526976,5972304273877744135569338397692020533504
%N Smallest Fibonacci number divisible by 2^(2*n).
%C The next term has 161 digits.
%e f(12)=144=2^4*3^2,
%e f(48)=4807526976=2^6*3^2*7*23*47*1103,
%e f(192)=2^8*3^2*7*23*47*769*1087*1103*2207*..,
%e f(768)=2^10*3^2*7*23*47*127*383*..,..
%t lst={8};k=12;Do[AppendTo[lst,Fibonacci[k]];k*=4,{n,5}];lst
%Y Cf. A000045, A172145
%K nonn
%O 1,1
%A _Vladimir Joseph Stephan Orlovsky_, Nov 19 2010
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