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J. M. ain't a mathematician
J. M. ain't a mathematician
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Closed form formula for $\sum^n_$\sum\limits_{k=1}k^k$^n k^k$

Is there a way of finding a formula for $\sum^n_{k=1}k^k$$\sum\limits_{k=1}^n k^k$? Maybe I'm missing something really obvious, but I've looked around a bit on the internetInternet and I haven't been able to find anything.

So, what I'm looking for is a formula in closed form to generate the sequence $1,5,32,288,3413,...$$1,5,32,288,3413,\dots$

Closed form formula for $\sum^n_{k=1}k^k$

Is there a way of finding a formula for $\sum^n_{k=1}k^k$? Maybe I'm missing something really obvious, but I've looked around a bit on the internet and I haven't been able to find anything.

So, what I'm looking for is a formula in closed form to generate the sequence $1,5,32,288,3413,...$

Closed form formula for $\sum\limits_{k=1}^n k^k$

Is there a way of finding a formula for $\sum\limits_{k=1}^n k^k$? Maybe I'm missing something really obvious, but I've looked around a bit on the Internet and I haven't been able to find anything.

So, what I'm looking for is a formula in closed form to generate the sequence $1,5,32,288,3413,\dots$

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Carolus
Carolus
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Closed form formula for $\sum^n_{k=1}k^k$

Is there a way of finding a formula for $\sum^n_{k=1}k^k$? Maybe I'm missing something really obvious, but I've looked around a bit on the internet and I haven't been able to find anything.

So, what I'm looking for is a formula in closed form to generate the sequence $1,5,32,288,3413,...$