第二类stirling数S(n,n-L)中n、M、L之间关系的探讨

Research on Relationship of n,M and L in Stirling Numbers of the Second Kind

第二类stirling数S(n,n-L)是分配问题中实用价值很高的分配数,计算起来均较为繁琐,在限制条件n≥M下,对于n与L的取值不同目前已出现一些不同的计算公式,但对于n、M、L之间的内在联系还缺乏较深的认识,通过对n、M、L之间关系的讨论,揭示了它们的内在规律,并给出了S(n,n-L)的一个计算公式.

The Stifling numbers of the second kind is of very high practical value in the distribution of the ap- portionment, but it is very complicated in calculating. Under the constraint of n≥M , there are already some formulas with different values of n and L, however, the intrinsic relationship of n,M and L is still lack of deep understanding. Based on the discussion of the relationship of n, M and L, this paper reveals their inter- nal disciplines and gives a formula to calculate.