Let an be the number of sets S of positive integers for which > Fk = n, kES where the Fibonacci sequence (F)k>1 satisfies F+2 = Fk+1 + F and begins F = 1, F =3. Find the largest integer n such that an 2020. %3D

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.