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贝尔数

2015

codeforces 569 D. Symmetric and Transitive (组合数学 第二类斯特林数 贝尔数)

D. Symmetric and Transitive time limit per test 1.5 seconds memory limit per test 256 megabytes input standard input output standard output Little Johnny has recently learned about set theory. Now he is studying binary relations. You’ve probably heard the term “equivalence relation”. These relations are very important in many areas of mathematics. For example, the equality of the two numbers is an equivalence relation.

贝尔数(集合的划分数目)

·2 mins
http://baike.baidu.com/link?url=kw5Kxe3nSvRJR0TpJUpMrORcQL8fyZFpJlT9_o0RlGYOy0bKFobabPPSj3LxGfy7o1qGVycrYK4Iags3hMFq0a 在组合数合里,贝尔数给出了集合划分的数目,以数学家埃里克·坦普尔·贝尔(Eric Temple Bell)命名,是组合数学中的一组整数数列。[1] 以B0= B1=1为始, 首几项的贝尔数为:1, 1, 2, 5, 15, 52, 203, 877, 4140, 21147, 115975, …(OEIS的A000110数列)