Fubini numbers

Fubini numbers, named after the mathematician G. Fubini, represent the count of different ways to connect pairs of 2n points arranged in a circle without any lines crossing. These numbers are significant in combinatorics and are linked to various mathematical concepts, such as trees and non-crossing partitions. The first few Fubini numbers are 1, 1, 2, 5, 14, and they emerge in various counting problems, illustrating how complex structures can be systematically analyzed in mathematics. Their study helps in understanding patterns and relationships in data organization and arrangement.