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$\begingroup$

$\sum_{i=0}^k 2^{n/{2^i}}$

I'm trying to find an actual sum of this little nice sum , but I think that there's a problem

with it being a geometric series .

I'd appreciate any help

Regards

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    This is more a guess, but can we approximate by $ \sum_{m=0}^k 2^{n/{2^m}} \sim \int_0^k 2^{n/{2^m}} dm $? Not sure if this makes it easier, but it's different view.2012-07-09

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