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math.CO2024
Further results on staircase graph words
Sela Fried
Staircase words are words in which consecutive letters do not differ by more than . We generalize this by extending the restriction to letters lying further apart from each othe…
math.NT2024
Proofs of some Conjectures from the OEIS
Sela Fried
In this work we resolve several conjectures stated in the On-Line Encyclopedia of Integer sequences.
math.CO2024
Counting rectangles in nondecreasing and Smirnov words
Sela Fried
The rectangle capacity, a word statistic that was recently introduced by the author and Mansour, counts, for two fixed positive integers and , the number of occurrences of a…