论文标题

两色瓷砖的进一步组合和应用

Further Combinatorics and Applications of Two-Toned Tilings

论文作者

Davis, Robert, Simay, Greg

论文摘要

整数组成,整数分区,斐波那契数和概括最近已被证明是通过水平网格的两色块来互连的。在本文中,我们介绍了两色砖的改进,描述分析它们的功能,并将其应用于整数组成和分区的概括,这些函数和分区之间插入了两者之间。

Integer compositions, integer partitions, Fibonacci numbers, and generalizations of these have recently been shown to be interconnected via two-toned tilings of horizontal grids. In this article, we present refinements of two-toned tilings, describe functions which analyze them, and apply these to generalizations of integer compositions and partitions which interpolate between the two.

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