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∑n=110010n{2n+2−n}\large\sum_{n=1}^{100} 10^n\{2^n+2^{-n}\}n=1∑10010n{2n+2−n}
If the above summation can be evaluated to be ab−ac\dfrac{a^b-a}{c}cab−a where a,ba,ba,b and ccc are positive integers and a,ca,ca,c are coprime, find the value of a+b+ca+b+ca+b+c.
Notation: {⋅} \{ \cdot \} {⋅} denotes the fractional part function.
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