In-Depth Coverage of the Icon Programming Language and Applications Solving Square-Root Palindromes
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چکیده
In the last article on square-root palindromes [1], we investigated constant square-root palindromes (those in which all terms are the same) using a combination of programs, guesses, and deduction. In this article, we’ll take a different approach: solving continued fractions to get data from which to derive more information about square-root palindromes. In a previous article [2], we showed a method for solving continued fractions for square roots. These continued fractions are infinite, repeating a sequence of coefficients as in
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In-Depth Coverage of the Icon Programming Language and Applications Constant Square-Root Palindromes
In the last issue of the Analyst, we described an application, which we have named qirplore, for exploring the space of square-root palindromes — the palindromic parts of the repeats in continuedfraction sequences for square roots [1]. In this article we’ll use qirplore to gather information about constant square-root palindromes — palindromes in which all terms are the same — and then deduce s...
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