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Bernoulli Numbers Generator | ||
limit: 2000
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Bernoulli Numbers Generator computes nth Bernoulli number for a given integer n. Bernoulli numbers are a sequence B_{n} of rational numbers defined by the Taylor expansion shown on the image below. All odd B_{n} numbers for n>1 are equal to zero. Relying on the used conventions the first Bernoulli number could be either 1/2 or -1/2. We are using B_{1}=-1/2 in this generator. Bernoulli numbers have a prominent place in mathematics, for instance they appear in Taylor expansion of tangent and in Euler-Maclaurin formula.
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Examples of Bernoulli Numbers | ||
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