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- W2618718671 abstract "We count the number of distinct (scattered) subwords occurring in the base-b expansion of the non-negative integers. More precisely, we consider the sequence $(S_b(n))_{nge 0}$ counting the number of positive entries on each row of a generalization of the Pascal triangle to binomial coefficients of base-$b$ expansions. By using a convenient tree structure, we provide recurrence relations for $(S_b(n))_{nge 0}$ leading to the $b$-regularity of the latter sequence. Then we deduce the asymptotics of the summatory function of the sequence $(S_b(n))_{nge 0}$." @default.
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- W2618718671 date "2017-05-29" @default.
- W2618718671 modified "2023-09-23" @default.
- W2618718671 title "Counting Subwords Occurrences in Base-b Expansions" @default.
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