抗回文组合物
Anti-palindromic compositions
摘要：
$n$的回文组合是$n$的组合，其可以以相同的方式向前和向后阅读。本文定义了$n$的反回文合成为$n$的部分之间没有镜像对称的合成。然后，我们给一个令人惊讶的连接之间的反回文组成的$n$和所谓的tribonacci序列，概括的斐波那契序列。最后，我们定义了一个新的斐波那契序列的q-模拟，它与反回文组合物的某些等价类有关
英文摘要：
A palindromic composition of $n$ is a composition of $n$ which can be read the same way forwards and backwards. In this paper we define an anti-palindromic composition of $n$ to be a composition of $n$ which has no mirror symmetry amongst its parts. We then give a surprising connection between the number of anti-palindromic compositions of $n$ and the so-called tribonacci sequence, a generalization of the Fibonacci sequence. We conclude by defining a new q-analogue of the Fibonacci sequence, which is related to certain equivalence classes of anti-palindromic compositions
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。
