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==Antipalindromic numbers== If the digits of a natural number don't only have to be reversed in order, but also subtracted from <math>b-1</math> to yield the original sequence again, then the number is said to be ''antipalindromic''. Formally, in the usual decomposition of a natural number into its digits <math>a_i</math> in base <math>b</math>, a number is antipalindromic [[iff]] <math>a_i = b - 1 - a_{k-i}</math>.<ref>{{cite arXiv |last1=Dvorakova |first1=Lubomira |last2=Kruml |first2=Stanislav |last3=Ryzak |first3=David |eprint=2008.06864 |title=Antipalindromic numbers |class= math.CO|date=16 Aug 2020 }}</ref>
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