基于杨辉三角数性质的高位数(11…1)_m^n计算

The Calculation of High Number Based on the Properties of Yang Hui Triangle Number

研究了高位数(11…1)mn的计算,首先由二项式系数展开的杨辉三角数推导多项式(1+x+x2+…+xm)n系数的类杨辉三角数性质,然后由类杨辉三角数性质给出了(11…1)mn的计算规律,同时并将其推广于(xy)2.(11)2n的计算.

This paper studied the calculation of high number. Firstly,the properties of class Yang hui triangle number of polynomial coefficients was derived by Yang hui triangle number of the binomial coefficients. Then, the calculation rules were given by the properties of class Yang hui triangle number. At the same time,the calculation of other high number was further extended.