Euler数与集合的纯偶排列数

Euler Number and Pure Even Partition of Set Number

引入集合的纯偶排列数,给出了纯偶排列数的一些性质,用纯偶排列数得到了Euler数及正切数的一种简洁的表示形式,利用Akiyama-Tanigawa算法给出了Euler数表,并且给出Euler数几个同余式.

The pure even permutation of set number is introduced,some nature of it with the pure even permutation of set num- ber is given,and a concise expression of Euler numbers and tangent coefficient is got. Using Akiyama-Tanigawa algorithm the Euler numbers numerical table is given,and some congruence types of the Euler numbers are given as well.