新型斯特林像数字-电子邮件风格的信
New type Stirling like numbers - an email style letter
摘要：
[1]中的Fibonacci蛛网偏序集的概念在[2]中被自然地推广到任何可容许的序列$F$，其中还认识到Bender和Goldman [3]的著名的预制概念--（也见[4，5]）--允许这样的扩展，以便包含[2]中的新型组合对象作为主要例子。最近作者在[6]中还引入了两个自然偏序：一个是蛛网预制集的分级自然子集中的$\leq$ [2]，另一个是赋予所谓的“预制集”的集合和另一个偏序，从而得到包含作者在[7]中引入的Fibonacci三元组序列的Bell类数。这里我们引用文[6]中关于新型类Stirling数的基本观察。更多关于符号，斯特林喜欢第一类的数字和证明-见[6]。
英文摘要：
The notion of the Fibonacci cobweb poset from [1] has been naturally extended to any admissible sequence $F$ in [2] where it was also recognized that the celebrated prefab notion of Bender and Goldman [3] - (see also [4,5]) - admits such an extension so as to encompass the new type combinatorial objects from [2] as leading examples. Recently the present author had introduced also [6] two natural partial orders in there: one $\leq$ in grading-natural subsets of cobweb`s prefabs sets [2] and in the second proposal one endows the set sums of the so called "prefabiants" with such another partial order that one arrives at Bell-like numbers including Fibonacci triad sequences introduced by the present author in [7]. Here we quote the basic observations concerning the new type Stirling like numbers as they appear in [6]. For more on notation, Stirling like numbers of the first kind and for proofs - see [6].
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