Geodesic
On the base-\(b\) expansion of the number of trailing zeros of \(b^k\)!
Journal of integer sequences, Tome 14 (2011) no. 6
Let $Z_{b}(n)$ denote the number of trailing zeroes in the base-$b$ expansion of $n!$. In this paper we study the connection between the expression of $\vartheta(b):=\lim_{n\rightarrow \infty}Z_{b}(n)/n$ in base $b$, and that of $Z_{b}(b^{k})$.
Classification : 11B99, 11A99
Keywords: factorial, trailing zeroes, base-b expansion 
@article{JIS_2011__14_6_a5,
     author = {Oller-Marc\'en,  Antonio M. and Grau,  Jos\'e Mar{\'\i}a},
     title = {On the base-\(b\) expansion of the number of trailing zeros of \(b^k\)!},
     journal = {Journal of integer sequences},
     year = {2011},
     volume = {14},
     number = {6},
     zbl = {1234.11021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2011__14_6_a5/}
}
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Oller-Marcén,  Antonio M.; Grau,  José María. On the base-\(b\) expansion of the number of trailing zeros of \(b^k\)!. Journal of integer sequences, Tome 14 (2011) no. 6. http://geodesic.mathdoc.fr/item/JIS_2011__14_6_a5/