Why can't I find anyone who has discovered the (irrational) constant 1.29128...? [closed]

sequences-and-series constants

The constant is exactly $\sum_{n=1}^∞\frac{1}{n^n}$. Why does it seem that no one has written about it? Did I not search well enough? If so, what is the name for it? If not, it is not sufficiently "interesting?" I can't find it anywhere, which seems very strange.

(I apologize about how little my experience in higher maths I have...)


Solution 1:

What? You mean the Sophomore's Dream? (Actually, the "dream" is that $\int_0^1 x^{-x} \,\mathrm{d}x = \sum_{n=1}^\infty n^{-n}$, but this is just two representations of your value.)

Your value appears in the ISC, associated with that sum.

This sequence of digits appears in the OEIS as A073009 (with various references, including to Bernoulli's proof that the integral equals the sum).

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