Saturday, 26 October 2013

a sum of distinct factorials

How many positive integers less than or equal to 240 can be expressed as a sum of distinct factorials?
Consider 0! and 1! to be distinct.

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Define \(f: \mathbb{R} \rightarrow \mathbb{R}\) by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \\ 0, ...