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Counting the palstars - MaRDI portal

Counting the palstars (Q405318)

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scientific article; zbMATH DE number 6340249
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Counting the palstars
scientific article; zbMATH DE number 6340249

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    Counting the palstars (English)
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    4 September 2014
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    Summary: A palstar is a concatenation of even-length palindromes. We show that, asymptotically, there are \(\Theta(\alpha_k^n)\) palstars of length \(2n\) over a \(k\)-letter alphabet, where \(\alpha_k\) is a constant such that \(2k-1 \alpha_k 2k-{1 \over 2}\). In particular, \(\alpha_2\doteq 3.33513193\).
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    palindrome
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    palstar
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    prime palstar
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    bordered word
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    analytic combinatorics
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