Answer by Wojowu for The Mompox Sequence: are all its terms different?
The answer is yes. Suppose $a(m)=a(n)$ for some $m<n$. By the definition of the sequence, we have $a(n)=a(m)\prod_{i=m+1}^ni^{s_i}$, where $s_i\in\{1,-1\}$, so that the above product is equal to...
View ArticleThe Mompox Sequence: are all its terms different?
The Mompox Sequence, $a(n):=1, 2, 6, 24, 120, 20, \ldots$ (OEIS A008336), is the sequence of positive integers whose first term is $1$, and in which the $n$-th term (after the first one) equals the...
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