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A112237

If a(n-2) is the i-th Fibonacci number then a(n)=Fibonacci(i+a(n-1)); with a(1)=1, a(2)=2 and where we use the following nonstandard indexing for the Fibonacci numbers: f(n)=f(n-1)+f(n-2), f(1)=1, f(2)=2 (cf. A000045).

The next term, a(7)=f(9969216677189303386214405760211), has tens of thousands of digits at least and is too large to include. - R. J. Mathar, Oct 14 2006