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Big Numbers Series
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Given a series of numbers 0  1  4  18  96  600  4320 …., and series starting from zeroth term. Given n, find the nth value of the series.
 

Example 1:

Input: n = 4
Output: 96

Example 2:

Input: n = 2
Output: 4

 

Your Task:
You don't need to read or print anything, Your task is to complete the function NthTerm() which takes n as input parameter and returns the nth value of the given series modulo 109 + 7.

 

Expected Time Complexity: O(n)
Expected Space Complexity: O(1)

Constraints:
1 <= n <= 10000

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Big Numbers Series

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