二项式系数和b_n(r,i)=sum (n k)~i(n k-1)^(r-i) from k=1 to n的同余性质

The Congruence Properties of Sums of Powers of Binomial Coefficients

利用同余理论及初等方法探讨二项式系数和bn(r,i)=sum (k n)~i(n k-1)^(r-i) from k=1 to n在模p下的同余性质.

To discuss the congruence properties of the sums bn（r,i）and make some preparation for searching its recursive formulas.