关于帕林的一些亲戚
About Some Relatives of Palindromes
摘要：
我们引入两类新的整数。第一类由数$N$组成，对于这些数至少存在一个非负整数$A$，使得$A$的和与$N$的位数之和加上和的逆，得到$N$。第二类由数$N$组成，其中至少存在一个非负整数$A$，使得$A$的和与$N$的位数之和乘以和的逆，得到$N$。所有具有偶数位数或奇数位数且中间位数为偶数的回文都属于第一类，所有具有至少两位数的回文都属于第二类。这些类包含并严格大于$b$ -ARH数类，分别是在Ni \c tic \u a \cite{N1}中引入的$b$ -MRH数.
英文摘要：
We introduce two new classes of integers. The first class consists of numbers $N$ for which there exists at least one nonnegative integer $A$, such that the sum of $A$ and the sum of digits of $N$, added to the reversal of the sum, gives $N$. The second class consists of numbers $N$ for which there exists at least one nonnegative integer $A$, such that the sum of $A$ and the sum of the digits of $N$, multiplied by the reversal of the sum, gives $N$. All palindromes that either have an even number of digits or an odd number of digits and the middle digit even belong to the first class, and all squares of palindromes with at least two digits belong to the second class. These classes contain and are strictly larger than the classes of $b$-ARH numbers, respectively $b$-MRH numbers introduced in Ni\c tic\u a \cite{N1}.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
