Generate formula from any given sequence of numbers

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$$ f(n) = (1000 - 190)\frac{\displaystyle\prod_{k=1}^{2} (n - k)}{2!}\\ + (100 - 10)\frac{\displaystyle\prod_{k=1}^{1} (n - k)}{1!}\\ + 10 $$
First ten numbers:
$$n$$ $$f(n)$$