It is just a conjecture that i've made so i'm asking if you can prove it or give a counterexample.

My conjecture :

let A(n) be the square matrix (n+1)x(n+1) with the generic element be

(<--- it's i^(j-1); i post a pic:

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then det(A)!=0

I've tested it to n=9...

moreover, det(A) seems to diverge to +inf with n and i've not found a negative value.

hope someone finds this interesting, goodbye!