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Gregory coefficients $ G_n$ , I add as reference the Wikipedia’s article dedicated to this sequence here, and the Möbius function $ \mu(n)$ seem to keep valuable arithmetic information. With this motivation I was doing experiments with Wolfram Alpha online calculator (using a suitable representation for the mentioned Gregory coefficients) studying some cases of realRead more

I am considering the following question related to the randomness of Mobius function $ \mu(n)$ : $ \mu(n)$ is defined as : $ \mu(1)=1$ , $ \mu(p_1…p_t)=(-1)^t$ , $ \forall t\in N^*$ $ p_1,…,p_t$ are different primes, $ \mu(n)=0$ if $ \exists p$ is a prime, $ p^2|n$ . My question is, given $ k\inRead more