A135970 Fibonacci(Mersenne primes): a(n) = Fibonacci(A000668(n)).
2, 13, 1346269, 155576970220531065681649693
Offset: 1
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Programs
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Mathematica
k = {}; Do[If[PrimeQ[2^n - 1], AppendTo[k, Fibonacci[2^n - 1]]], {n, 1, 15}]; k Fibonacci/@Select[Table[2^Prime[n]-1,{n,5}],PrimeQ] (* Harvey P. Dale, May 06 2018 *)
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