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- W4293872600 abstract "We exhibit a recurrence on the number of discrete line segments joining two integer points in the plane using an encoding of such segments as balanced words of given length and height over the two-letter alphabet ${0,1}$. We give generating functions and study the asymptotic behaviour. As a particular case, we focus on the symmetrical discrete segments which are encoded by balanced palindromes." @default.
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- W4293872600 date "2010-07-29" @default.
- W4293872600 modified "2023-09-27" @default.
- W4293872600 title "On the Number of Balanced Words of Given Length and Height over a Two-Letter Alphabet" @default.
- W4293872600 doi "https://doi.org/10.48550/arxiv.1007.5212" @default.
- W4293872600 hasPublicationYear "2010" @default.
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