- #1

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Or this,

Infinite Sum[n=1] 1/(n^n)

Using some known mathematical constants.

- Thread starter Sam_
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- #1

- 15

- 0

Or this,

Infinite Sum[n=1] 1/(n^n)

Using some known mathematical constants.

- #2

Gib Z

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The first sum is equal to a known mathematical constant, and its called the Reciprocal Fibonacci Constant:

[tex]\psi = \sum_{k=1}^{\infty} \frac{1}{F_k} = 3.359885666243 \dots[/tex], which has been proven to be irrational, but it is currently not known if that constant is expressible in terms of more elementary or common constants.

The second One I know converges, though I have never seen a closed form solution for.

- #3

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Sorry, I didn't mean to torture you

And thanks for the explanation. I was wondering about this the other day and thought what better place to ask about it than here.

- #4

Gib Z

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- #5

Gib Z

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[tex]\sum_{n=1}^{\infty} \frac{1}{n^n} = \int^1_0 x^{-x} dx[/tex]

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