Bernoulli Numbers Generator

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 B₁=-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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