Is there a kosher way of manipulating formulas containing floor truncation, say,(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \sum_{i=1}^n \left [ ~ { 333 \over 2^i } ~ \right ] ~=~ ? [/tex](I mean analytically, not writing a computer program to find out the result.) Thanks.

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# Solve formulas containing the floor function

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