Bernoulli Numbers are a sequence of rational numbers that are important in number theory and mathematical analysis. They are defined using a specific formula involving the Riemann zeta function and are often used in the calculation of sums of powers of integers. The first few Bernoulli numbers are 1, -1/2, 1/6, and 0. These numbers appear in various mathematical contexts, including the Euler-Maclaurin formula and the expansion of certain functions. They also play a role in combinatorial mathematics and are used in the study of polynomial interpolation. Their unique properties make them valuable in both theoretical and applied mathematics.