Let and , where denotes the greatest integer function. Find the value of ,…

MATHEMATICS · Subjective · AoPS · Mathematics · Special Functions · Special Functions

Problem

Let

R = (6\sqrt{6} + 14)^{2n+1}

and

f = R - [R]

, where

[. ]

denotes the greatest integer function. Find the value of

Rf

n \in \mathbb{N}