what is known as the bernoulli numbers ?
In mathematics, the Bernoulli numbers are a sequence of rational numbers with deep connections to number theory. They are closely related to the values of the Riemann zeta function at negative integers. In Europe, they were first studied by Jakob Bernoulli, after whom they were named by Abraham de Moivre. In Japan, perhaps earlier, they were independently discovered by Seki Kōwa. They appear in the Taylor series expansions of the tangent and hyperbolic tangent functions, in the Euler–Maclaurin formula, and in expressions for certain values of the Riemann zeta function. In note G of Ada Lovelace’s notes on the Analytical Engine from 1842, Lovelace describes an algorithm for generating Bernoulli numbers with Babbage’s machine . As a result, the Bernoulli numbers have the distinction of being the subject of the first computer program. Sources: http://en.wikipedia.
In mathematics, the Bernoulli numbers are a sequence of rational numbers with deep connections to number theory. They are closely related to the values of the Riemann zeta function at negative integers. In Europe, they were first studied by Jakob Bernoulli, after whom they were named by Abraham de Moivre. In Japan, perhaps earlier, they were independently discovered by Seki Kōwa. They appear in the Taylor series expansions of the tangent and hyperbolic tangent functions, in the Euler–Maclaurin formula, and in expressions for certain values of the Riemann zeta function. In note G of Ada Lovelace’s notes on the Analytical Engine from 1842, Lovelace describes an algorithm for generating Bernoulli numbers with Babbage’s machine [~ 1]. As a result, the Bernoulli numbers have the distinction of being the subject of the first computer program. Sources: http://en.wikipedia.
