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Fast growing sequences of numbers and the first digit phenomenon

    https://doi.org/10.1142/S1793042115500384Cited by:6 (Source: Crossref)

    We consider a large class of fast growing sequences of numbers Un like the nth superfactorial , the nth hyperfactorial and similar ones. We show that their mantissas are distributed following Benford's law in the sense of the natural density. We prove that this is also verified by , by and is passed down to all the sequences obtained by iterating this design process. We also consider the superprimorial numbers and the products of logarithms of integers.

    AMSC: 11K31, 11K06
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