Special Math Sequence

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###Special Math Sequence One Mathematics Research center formulated a special sequence. Two numbers $N$ and $P$ are given to create a special sequence. $N$ is the first element in this sequence. Second element is sum of raising each digit of the first element to $P$. Third element is sum of raising each digit of the second element to $P$. And it goes on forever. ###Example: Take N = 57, P =

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