论文标题
整数序列和输出阵列
Integer Sequences and Output Arrays
论文作者
论文摘要
第一作者最近引入了一个整数序列，现在在OEIS中编号为A355519。这个序列是由计算括号锦标赛产生的。它的研究唤起了对加泰罗尼亚三角（OEIS中的A009766序列A009766）和相关的加泰罗尼亚数字，OEIS序列A000108的分析。因此，我们引入了一种将这些序列置于相同基础上的一般结构，并提出了许多新的整数序列。我们提供执行此构造的代码和冗长的示例列表。该构造确定了从输入序列到输出序列的函数。某些结果的输出序列在OEI中，而另一些则不是。
The first author recently introduced an integer sequence now numbered A355519 in OEIS. This sequence arose from counting bracket tournaments; its study evokes the analysis of the Catalan triangle (sequence A009766 in OEIS) and the related Catalan numbers, sequence A000108 in OEIS. We therefore introduce a general construction that places these sequences on the same footing and suggests many new integer sequences. We provide code for performing this construction and a lengthy list of examples. This construction determines a function from input sequences to output sequences. Some of the resulting output sequences are in OEIS and others are not.
