Delannoy数的计算公式与卷积和

The calculate formula and convolu-tion sums of Delannoy numbers

把Delannoy数与一种积分联系起来,得到了Delannoy数的计算公式;利用推广的Fibonacci数得到了有关Delannoy数卷积和的封闭形式.

This paper has two sections, section one obtained a calculate formula on Delannoy number by an integral; section two derived a close expression for convolution sum of Delannoy number by means of generalized Fibonacci numbers.