与Bernoulli数相关的一组计数恒等式

A Kind of Counting Identities Containing Bernoulli Numbers

应用生成函数 ,得出了与Bernoulli数Bn 相关的一组计数恒等式指出了Bn 与k阶Bernoulli数Bkn,k阶Bernoulli数Bkn 与第二类Stirling数Skn,Bn 与华蘅芳数Hkn,Bn 与第二类Stirling数Skn。

A kind of counting identities is given by generating function, which shows the relationship between Bernoulli numbers- B n and k Bernoulli numbers- B k n,B k n and the relationship between the second Stirling numbers- S k n,B n and Hua′s numbers- H k n,B n and S k n .