The following sequence of numbers is related to two well known sequences in the OEIS, the On-Line Encyclopedia of Integer Sequences:
3, 4, 7, 10, 16, 21, 30, 40, 57, 84, 120, 181, 274, 420,...
a) Which two sequences, and how is it related to them?
b) Does the sequence itself contain infinitely many terms belonging to each of the two sequences which give rise to it?
prime(n) + Fibonacci(n)
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