Biharmonic平均值
The Biharmonic mean
摘要：
我们简要介绍了一些著名的手段和他们的性质，重点是与整数序列的关系。特别地，从调和平均导出的调和数激发了一种新的平均的定义，我们称之为双调和平均。双调和平均允许引入双调和数，为素数提供了一个新的刻画。此外，我们突出了一些有趣的整除性质，我们的半素双调和数的特征，显示他们的关系与线性递归序列，解决某些丢番图方程。
英文摘要：
We briefly describe some well-known means and their properties, focusing on the relationship with integer sequences. In particular, the harmonic numbers, deriving from the harmonic mean, motivate the definition of a new kind of mean that we call the biharmonic mean. The biharmonic mean allows to introduce the biharmonic numbers, providing a new characterization for primes. Moreover, we highlight some interesting divisibility properties and we characterize the semi--prime biharmonic numbers showing their relationship with linear recurrent sequences that solve certain Diophantine equations.
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。
