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Recently, I was exploring different ways to find out the sum of series but I've one in my mind to which I didn't have a sol. to. It goes :$$\sum_{i=1}^n i^i$$

Does anyone have a solution to this ?

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    $\begingroup$ There aren't any simpler forms. $\endgroup$
    – K.defaoite
    Commented Jan 28, 2023 at 12:59
  • $\begingroup$ @DipanjanDas, what is $x$ ? $\endgroup$
    – Angelo
    Commented Jan 28, 2023 at 13:06
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    $\begingroup$ oeis.org/A001923 has few comments, and none about simpler forms. $\endgroup$
    – aschepler
    Commented Jan 28, 2023 at 13:09
  • $\begingroup$ There is a closed form for $\prod_{n=1}^x n^n$, but likely not the sum $\endgroup$ Commented Jan 28, 2023 at 13:15

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