RPS #007 - A Little Harder Than The #006 One

Algebra Level 3

Let \(F_k(n)\) denotes the \(n^{th}\) term of the series \(F_k\) for every positive integer \(n\)

If the \(n^{th}\) term of series \(F_1\) defined as \(F_1(n) = n\), and \[F_{k+1}(n) = \sum_{i=0}^{n-1} F_k(1+i) \]Find the value of \(F_{2015}(3)\)

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