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palindromic number
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(Definition)
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An integer $n$ that in a given base $b$ is a palindrome. Given $n$ being $k$ digits $d_x$ long in base $b$ its value being $$n = \sum_{i = 0}^{k - 1} d_kb^i$$ then if the equalities $d_k = d_1$ $d_{k - 1} = d_2$ etc., hold, then $n$ is a palindromic number. There are infinitely many palindromic numbers in any given base.
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"palindromic number" is owned by CompositeFan. [ owner history (1) ]
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Cross-references: equalities, digits, palindrome, base, integer
There are 11 references to this entry.
This is version 1 of palindromic number, born on 2006-05-27.
Object id is 7931, canonical name is PalindromicNumber.
Accessed 1946 times total.
Classification:
| AMS MSC: | 11A63 (Number theory :: Elementary number theory :: Radix representation; digital problems) |
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Pending Errata and Addenda
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